Cremona's table of elliptic curves

2124 = 2² · 3² · 59

Field	Data	Notes
Atkin-Lehner	2- 3- 59-	Signs for the Atkin-Lehner involutions
Class	2124c	Isogeny class
Conductor	2124	Conductor
∏ cp	9	Product of Tamagawa factors cp
Δ	-2395540656 = -1 · 24 · 36 · 593	Discriminant
Eigenvalues	2- 3- -3 -1 -6 -4  6  5	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,276,-1559]	[a1,a2,a3,a4,a6]
j	199344128/205379	j-invariant
L	0.7880031697757	L(r)(E,1)/r!
Ω	0.7880031697757	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	3	Number of elements in the torsion subgroup
Twists	8496s2 33984o2 236b2 53100m2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2124c2

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
-	-	-3	-1	-6	-4	6	5	0	-9	-4	-4	9	8	12	9	-	2	2	0	14	-7	0	6	2

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Quadratic twists for elliptic curve 2124c2

-4	8	-3	5	-7	-59
8496s2	33984o2	236b2	53100m2	104076n2	125316l2

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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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