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	80	Product of Tamagawa factors cp
deg	122880	Modular degree for the optimal curve
Δ	-1494421523437500 = -1 · 22 · 38 · 510 · 73 · 17	Discriminant
Eigenvalues	2+ 3+ 5- 7-  4  0 17+  2	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,1683,-1859031]	[a1,a2,a3,a4,a6]
Generators	[153:1341:1]	Generators of the group modulo torsion
j	1535602031153/4356914062500	j-invariant
L	3.8527274756208	L(r)(E,1)/r!
Ω	0.2215004471488	Real period
R	0.86968841941718	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	74970dc1 124950il1 24990bc1	Quadratic twists by: -3 5 -7

Hecke Eigenvalues for elliptic curve 24990n1

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 24990n1

-3	5	-7
74970dc1	124950il1	24990bc1

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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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