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	8976x	Isogeny class
Conductor	8976	Conductor
∏ cp	160	Product of Tamagawa factors cp
Δ	1981282627506733056 = 216 · 310 · 116 · 172	Discriminant
Eigenvalues	2- 3-  2 -4 11+  6 17+ -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-502392,-119328300]	[a1,a2,a3,a4,a6]
Generators	[-444:4050:1]	Generators of the group modulo torsion
j	3423676911662954233/483711578981136	j-invariant
L	5.3970269625595	L(r)(E,1)/r!
Ω	0.18100994575401	Real period
R	2.9816190155064	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	1122b2 35904ca2 26928by2 98736dj2	Quadratic twists by: -4 8 -3 -11

Hecke Eigenvalues for elliptic curve 8976x2

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	+	6	+	-4	0	2	0	-10	-10	4	-4	-2	0	2	-12	0	-10	-4	12	-14	18

---

Quadratic twists for elliptic curve 8976x2

-4	8	-3	-11
1122b2	35904ca2	26928by2	98736dj2

---

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
Back to Tables and computations