Cremona's table of elliptic curves

2296 = 2³ · 7 · 41

Field	Data	Notes
Atkin-Lehner	2- 7- 41-	Signs for the Atkin-Lehner involutions
Class	2296b	Isogeny class
Conductor	2296	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	283570767872 = 211 · 72 · 414	Discriminant
Eigenvalues	2-  0 -2 7-  0  2  2  0	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-2651,-45866]	[a1,a2,a3,a4,a6]
j	1006057824354/138462289	j-invariant
L	1.3428404986192	L(r)(E,1)/r!
Ω	0.67142024930958	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	4592a3 18368l3 20664g3 57400b4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2296b3

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	-2	-	0	2	2	0	8	-6	-8	-2	-	4	0	10	12	14	8	0	10	0	12	-14	2

---

Quadratic twists for elliptic curve 2296b3

-4	8	-3	5	-7	41
4592a3	18368l3	20664g3	57400b4	16072g3	94136d4

---

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