Cremona's table of elliptic curves

100800 = 2⁶ · 3² · 5² · 7

Field	Data	Notes
Atkin-Lehner	2+ 3- 5- 7+	Signs for the Atkin-Lehner involutions
Class	100800gl	Isogeny class
Conductor	100800	Conductor
∏ cp	24	Product of Tamagawa factors cp
deg	921600	Modular degree for the optimal curve
Δ	-5016453120000 = -1 · 219 · 37 · 54 · 7	Discriminant
Eigenvalues	2+ 3- 5- 7+  2 -1  3  0	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-2520300,1540020400]	[a1,a2,a3,a4,a6]
Generators	[920:180:1]	Generators of the group modulo torsion
j	-14822892630025/42	j-invariant
L	6.6287579964706	L(r)(E,1)/r!
Ω	0.50706915565633	Real period
R	0.54469542598059	Regulator
r	1	Rank of the group of rational points
S	1.0000000004022	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	100800pn1 3150bp1 33600dh1 100800ew2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 100800gl1

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
+	-	-	+	2	-1	3	0	-1	-5	7	-2	-7	-11	8	1	-5	3	-12	-12	6	10	11	10	2

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Quadratic twists for elliptic curve 100800gl1

-4	8	-3	5
100800pn1	3150bp1	33600dh1	100800ew2

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Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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