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	462c	Isogeny class
Conductor	462	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	213444 = 22 · 32 · 72 · 112	Discriminant
Eigenvalues	2+ 3+ -2 7- 11-  2 -6 -4	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-16,-20]	[a1,a2,a3,a4,a6]
Generators	[-3:5:1]	Generators of the group modulo torsion
j	498677257/213444	j-invariant
L	1.2390297776895	L(r)(E,1)/r!
Ω	2.4613024380517	Real period
R	0.50340411585919	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	3696u2 14784bd2 1386l2 11550cg2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 462c2

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

---

Quadratic twists for elliptic curve 462c2

-4	8	-3	5	-7	-11	13
3696u2	14784bd2	1386l2	11550cg2	3234n2	5082r2	78078bw2

---

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