Cremona's table of elliptic curves

2574 = 2 · 3² · 11 · 13

Field	Data	Notes
Atkin-Lehner	2+ 3- 11+ 13+	Signs for the Atkin-Lehner involutions
Class	2574d	Isogeny class
Conductor	2574	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	282240	Modular degree for the optimal curve
Δ	-1.9107942119134E+22	Discriminant
Eigenvalues	2+ 3-  1  1 11+ 13+ -4  6	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-51969609,-144342625779]	[a1,a2,a3,a4,a6]
j	-21293376668673906679951249/26211168887701209984	j-invariant
L	1.4056271911853	L(r)(E,1)/r!
Ω	0.028112543823707	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	25	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	20592bl1 82368ce1 858k1 64350du1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2574d1

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
+	-	1	1	+	+	-4	6	-3	5	4	10	7	-5	8	2	3	13	-9	-2	-3	10	14	8	-14

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Quadratic twists for elliptic curve 2574d1

-4	8	-3	5	-7	-11	13
20592bl1	82368ce1	858k1	64350du1	126126ce1	28314cc1	33462cx1

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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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