Cremona's table of elliptic curves

2820 = 2² · 3 · 5 · 47

Field	Data	Notes
Atkin-Lehner	2- 3- 5- 47+	Signs for the Atkin-Lehner involutions
Class	2820f	Isogeny class
Conductor	2820	Conductor
∏ cp	12	Product of Tamagawa factors cp
Δ	-25447680 = -1 · 28 · 32 · 5 · 472	Discriminant
Eigenvalues	2- 3- 5-  0  0  4  0  6	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-20,-252]	[a1,a2,a3,a4,a6]
j	-3631696/99405	j-invariant
L	2.7607656075648	L(r)(E,1)/r!
Ω	0.92025520252161	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	11280p2 45120a2 8460d2 14100a2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2820f2

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

---

Quadratic twists for elliptic curve 2820f2

-4	8	-3	5
11280p2	45120a2	8460d2	14100a2

---

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