Cremona's table of elliptic curves

25350 = 2 · 3 · 5² · 13²

Field	Data	Notes
Atkin-Lehner	2- 3+ 5- 13+	Signs for the Atkin-Lehner involutions
Class	25350cg	Isogeny class
Conductor	25350	Conductor
∏ cp	48	Product of Tamagawa factors cp
Δ	1240726426641000 = 23 · 32 · 53 · 1310	Discriminant
Eigenvalues	2- 3+ 5-  2 -2 13+ -2  4	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-27128,-303919]	[a1,a2,a3,a4,a6]
Generators	[-21:517:1]	Generators of the group modulo torsion
j	3659383421/2056392	j-invariant
L	7.4231062622084	L(r)(E,1)/r!
Ω	0.40018477820459	Real period
R	1.5457664114379	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	76050co2 25350br2 1950e2	Quadratic twists by: -3 5 13

Hecke Eigenvalues for elliptic curve 25350cg2

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	-2	+	-2	4	0	4	-8	6	6	-4	-8	-2	-10	-14	-16	4	8	-8	12	-6	12

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Quadratic twists for elliptic curve 25350cg2

-3	5	13
76050co2	25350br2	1950e2

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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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