Cremona's table of elliptic curves

462 = 2 · 3 · 7 · 11

Field	Data	Notes
Atkin-Lehner	2+ 3+ 7+ 11+	Signs for the Atkin-Lehner involutions
Class	462a	Isogeny class
Conductor	462	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	7072758 = 2 · 38 · 72 · 11	Discriminant
Eigenvalues	2+ 3+  0 7+ 11+ -2 -4  6	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-105,-441]	[a1,a2,a3,a4,a6]
Generators	[-7:7:1]	Generators of the group modulo torsion
j	129938649625/7072758	j-invariant
L	1.2866215632196	L(r)(E,1)/r!
Ω	1.4946342423323	Real period
R	0.86082703498877	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	3696ba2 14784z2 1386i2 11550ck2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 462a2

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

---

Quadratic twists for elliptic curve 462a2

-4	8	-3	5	-7	-11	13
3696ba2	14784z2	1386i2	11550ck2	3234k2	5082t2	78078co2

---

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