Cremona's table of elliptic curves

24276 = 2² · 3 · 7 · 17²

Field	Data	Notes
Atkin-Lehner	2- 3- 7+ 17+	Signs for the Atkin-Lehner involutions
Class	24276g	Isogeny class
Conductor	24276	Conductor
∏ cp	24	Product of Tamagawa factors cp
Δ	-13388096905005312 = -1 · 28 · 32 · 72 · 179	Discriminant
Eigenvalues	2- 3-  0 7+  4 -2 17+ -2	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-8188,5571524]	[a1,a2,a3,a4,a6]
Generators	[-172:1386:1]	Generators of the group modulo torsion
j	-2000/441	j-invariant
L	6.4388487491272	L(r)(E,1)/r!
Ω	0.3244092114269	Real period
R	3.3079870126612	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	97104bu2 72828i2 24276e2	Quadratic twists by: -4 -3 17

Hecke Eigenvalues for elliptic curve 24276g2

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
-	-	0	+	4	-2	+	-2	-8	6	8	-4	-4	0	0	14	4	-10	4	-8	-2	-4	-8	-6	18

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Quadratic twists for elliptic curve 24276g2

-4	-3	17
97104bu2	72828i2	24276e2

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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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