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	4669c	Isogeny class
Conductor	4669	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	210358998269 = 72 · 236 · 29	Discriminant
Eigenvalues	-1  2 -2 7- -2 -2  2  8	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-1929,-24814]	[a1,a2,a3,a4,a6]
Generators	[-114:95:8]	Generators of the group modulo torsion
j	793842719651857/210358998269	j-invariant
L	2.9530089074275	L(r)(E,1)/r!
Ω	0.73460274485418	Real period
R	4.0198718669553	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	74704n2 42021l2 116725e2 32683e2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 4669c2

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	2	-2	-	-2	-2	2	8	+	-	-2	-4	0	-6	10	-6	0	-10	12	8	8	6	4	-6	-18

---

Quadratic twists for elliptic curve 4669c2

-4	-3	5	-7	-23
74704n2	42021l2	116725e2	32683e2	107387g2

---

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