Cremona's table of elliptic curves

8976 = 2⁴ · 3 · 11 · 17

Field	Data	Notes
Atkin-Lehner	2- 3+ 11- 17-	Signs for the Atkin-Lehner involutions
Class	8976w	Isogeny class
Conductor	8976	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	7075778789376 = 219 · 38 · 112 · 17	Discriminant
Eigenvalues	2- 3+  2 -4 11- -2 17-  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-22467952,40998946240]	[a1,a2,a3,a4,a6]
j	306234591284035366263793/1727485056	j-invariant
L	1.4483646121535	L(r)(E,1)/r!
Ω	0.36209115303837	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	1122k3 35904cr4 26928be4 98736by4	Quadratic twists by: -4 8 -3 -11

Hecke Eigenvalues for elliptic curve 8976w3

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	-	-2	-	4	4	2	4	-6	-6	4	0	6	-4	-6	4	-4	10	-4	-12	-6	-6

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Quadratic twists for elliptic curve 8976w3

-4	8	-3	-11
1122k3	35904cr4	26928be4	98736by4

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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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