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	100800cu	Isogeny class
Conductor	100800	Conductor
∏ cp	16	Product of Tamagawa factors cp
deg	122880	Modular degree for the optimal curve
Δ	-5225472000000 = -1 · 216 · 36 · 56 · 7	Discriminant
Eigenvalues	2+ 3- 5+ 7+  0  0 -2  2	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-300,110000]	[a1,a2,a3,a4,a6]
j	-4/7	j-invariant
L	2.4634459416937	L(r)(E,1)/r!
Ω	0.61586147045136	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	100800mr1 12600k1 11200i1 4032p1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 100800cu1

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
+	-	+	+	0	0	-2	2	8	2	4	-6	2	8	-4	10	6	-4	-12	0	14	-8	-6	-10	2

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Quadratic twists for elliptic curve 100800cu1

-4	8	-3	5
100800mr1	12600k1	11200i1	4032p1

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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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