Cremona's table of elliptic curves

4620 = 2² · 3 · 5 · 7 · 11

Field	Data	Notes
Atkin-Lehner	2- 3+ 5- 7- 11-	Signs for the Atkin-Lehner involutions
Class	4620g	Isogeny class
Conductor	4620	Conductor
∏ cp	315	Product of Tamagawa factors cp
deg	30240	Modular degree for the optimal curve
Δ	-16041839167200000 = -1 · 28 · 3 · 55 · 73 · 117	Discriminant
Eigenvalues	2- 3+ 5- 7- 11-  4 -5 -5	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,6155,-6092975]	[a1,a2,a3,a4,a6]
Generators	[2055:93170:1]	Generators of the group modulo torsion
j	100715742101504/62663434246875	j-invariant
L	3.5789680166822	L(r)(E,1)/r!
Ω	0.18310140188288	Real period
R	0.06205197289986	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	18480cy1 73920cs1 13860n1 23100y1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4620g1

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
-	+	-	-	-	4	-5	-5	-3	-1	-2	-4	-10	-9	6	-7	-1	5	2	-10	4	0	-5	9	13

---

Quadratic twists for elliptic curve 4620g1

-4	8	-3	5	-7	-11
18480cy1	73920cs1	13860n1	23100y1	32340bh1	50820j1

---

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