Cremona's table of elliptic curves

20460 = 2² · 3 · 5 · 11 · 31

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 11+ 31+	Signs for the Atkin-Lehner involutions
Class	20460g	Isogeny class
Conductor	20460	Conductor
∏ cp	192	Product of Tamagawa factors cp
Δ	25834920075360000 = 28 · 316 · 54 · 112 · 31	Discriminant
Eigenvalues	2- 3- 5+  2 11+ -4 -4 -2	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-79276,-3769276]	[a1,a2,a3,a4,a6]
Generators	[-76:1350:1]	Generators of the group modulo torsion
j	215235752017180624/100917656544375	j-invariant
L	5.9619290629372	L(r)(E,1)/r!
Ω	0.29776746862249	Real period
R	0.41712701542735	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	81840bv2 61380t2 102300b2	Quadratic twists by: -4 -3 5

Hecke Eigenvalues for elliptic curve 20460g2

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	+	-4	-4	-2	8	0	+	6	2	0	-8	14	0	-8	-16	-16	16	4	12	-14	10

---

Quadratic twists for elliptic curve 20460g2

-4	-3	5
81840bv2	61380t2	102300b2

---

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