Cremona's table of elliptic curves

24990 = 2 · 3 · 5 · 7² · 17

Field	Data	Notes
Atkin-Lehner	2+ 3+ 5- 7- 17+	Signs for the Atkin-Lehner involutions
Class	24990n	Isogeny class
Conductor	24990	Conductor
∏ cp	40	Product of Tamagawa factors cp
Δ	26669326953543750 = 2 · 316 · 55 · 73 · 172	Discriminant
Eigenvalues	2+ 3+ 5- 7-  4  0 17+  2	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-217067,-38215281]	[a1,a2,a3,a4,a6]
Generators	[-267:1026:1]	Generators of the group modulo torsion
j	3297722675058468847/77753139806250	j-invariant
L	3.8527274756208	L(r)(E,1)/r!
Ω	0.2215004471488	Real period
R	1.7393768388344	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	74970dc2 124950il2 24990bc2	Quadratic twists by: -3 5 -7

Hecke Eigenvalues for elliptic curve 24990n2

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

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Quadratic twists for elliptic curve 24990n2

-3	5	-7
74970dc2	124950il2	24990bc2

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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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