Cremona's table of elliptic curves

4669 = 7 · 23 · 29

Field	Data	Notes
Atkin-Lehner	7+ 23- 29+	Signs for the Atkin-Lehner involutions
Class	4669a	Isogeny class
Conductor	4669	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	36833741 = 74 · 232 · 29	Discriminant
Eigenvalues	1  0  2 7+ -2  2  0 -2	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-131,532]	[a1,a2,a3,a4,a6]
j	249689960073/36833741	j-invariant
L	1.9725004392508	L(r)(E,1)/r!
Ω	1.9725004392508	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	74704p2 42021f2 116725g2 32683g2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 4669a2

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
1	0	2	+	-2	2	0	-2	-	+	4	4	6	6	8	2	-12	0	12	0	2	2	4	0	-12

---

Quadratic twists for elliptic curve 4669a2

-4	-3	5	-7	-23
74704p2	42021f2	116725g2	32683g2	107387i2

---

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