Cremona's table of elliptic curves

10200 = 2³ · 3 · 5² · 17

Field	Data	Notes
Atkin-Lehner	2+ 3+ 5- 17-	Signs for the Atkin-Lehner involutions
Class	10200n	Isogeny class
Conductor	10200	Conductor
∏ cp	24	Product of Tamagawa factors cp
Δ	-20854859616000 = -1 · 28 · 33 · 53 · 176	Discriminant
Eigenvalues	2+ 3+ 5- -4  2  4 17- -4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-7468,334132]	[a1,a2,a3,a4,a6]
Generators	[-18:680:1]	Generators of the group modulo torsion
j	-1439609866256/651714363	j-invariant
L	3.3162849064404	L(r)(E,1)/r!
Ω	0.63734708585994	Real period
R	0.86721060366605	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	20400bq2 81600fb2 30600cq2 10200bn2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 10200n2

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
+	+	-	-4	2	4	-	-4	-8	8	0	-2	-4	6	-12	14	0	2	2	14	2	4	-16	-6	-14

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Quadratic twists for elliptic curve 10200n2

-4	8	-3	5
20400bq2	81600fb2	30600cq2	10200bn2

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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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