Cremona's table of elliptic curves

464 = 2⁴ · 29

Field	Data	Notes
Atkin-Lehner	2- 29+	Signs for the Atkin-Lehner involutions
Class	464c	Isogeny class
Conductor	464	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	96	Modular degree for the optimal curve
Δ	-121634816 = -1 · 222 · 29	Discriminant
Eigenvalues	2-  1  1  2  3 -1  8  0	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,80,-428]	[a1,a2,a3,a4,a6]
j	13651919/29696	j-invariant
L	1.9334353048092	L(r)(E,1)/r!
Ω	0.96671765240458	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	58b1 1856l1 4176bc1 11600t1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 464c1

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	1	2	3	-1	8	0	-4	+	3	8	2	11	-13	-11	0	-8	12	-2	4	-15	-4	-10	-2

---

Quadratic twists for elliptic curve 464c1

-4	8	-3	5	-7	-11	13	29
58b1	1856l1	4176bc1	11600t1	22736y1	56144q1	78416j1	13456f1

---

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