Cremona's table of elliptic curves

12100 = 2² · 5² · 11²

Field	Data	Notes
Atkin-Lehner	2- 5+ 11-	Signs for the Atkin-Lehner involutions
Class	12100h	Isogeny class
Conductor	12100	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	1948717100000000 = 28 · 58 · 117	Discriminant
Eigenvalues	2- -2 5+  0 11-  0 -4  4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-182508,-29996012]	[a1,a2,a3,a4,a6]
Generators	[-237:50:1]	Generators of the group modulo torsion
j	94875856/275	j-invariant
L	2.9470138833476	L(r)(E,1)/r!
Ω	0.23102264277821	Real period
R	3.1890963672518	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	48400ce2 108900bj2 2420f2 1100c2	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 12100h2

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

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Quadratic twists for elliptic curve 12100h2

-4	-3	5	-11
48400ce2	108900bj2	2420f2	1100c2

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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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