Cremona's table of elliptic curves

2900 = 2² · 5² · 29

Field	Data	Notes
Atkin-Lehner	2- 5+ 29+	Signs for the Atkin-Lehner involutions
Class	2900c	Isogeny class
Conductor	2900	Conductor
∏ cp	24	Product of Tamagawa factors cp
Δ	-3364000000 = -1 · 28 · 56 · 292	Discriminant
Eigenvalues	2- -2 5+ -4 -6 -2 -2 -6	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-108,2788]	[a1,a2,a3,a4,a6]
Generators	[-12:50:1] [3:50:1]	Generators of the group modulo torsion
j	-35152/841	j-invariant
L	2.8585259155875	L(r)(E,1)/r!
Ω	1.1834336990639	Real period
R	0.40257513902811	Regulator
r	2	Rank of the group of rational points
S	1.0000000000001	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	11600u2 46400u2 26100bb2 116c1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2900c2

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	+	-4	-6	-2	-2	-6	-4	+	-6	-2	2	-10	2	-10	0	10	12	8	-10	-6	-16	2	-10

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Quadratic twists for elliptic curve 2900c2

-4	8	-3	5	29
11600u2	46400u2	26100bb2	116c1	84100d2

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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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