Cremona's table of elliptic curves

2440 = 2³ · 5 · 61

Field	Data	Notes
Atkin-Lehner	2- 5- 61-	Signs for the Atkin-Lehner involutions
Class	2440d	Isogeny class
Conductor	2440	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	-95257600 = -1 · 210 · 52 · 612	Discriminant
Eigenvalues	2-  2 5-  4 -2 -2  2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-80,572]	[a1,a2,a3,a4,a6]
j	-55990084/93025	j-invariant
L	3.4028363652776	L(r)(E,1)/r!
Ω	1.7014181826388	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	4880d2 19520e2 21960e2 12200b2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2440d2

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

---

Quadratic twists for elliptic curve 2440d2

-4	8	-3	5	-7
4880d2	19520e2	21960e2	12200b2	119560q2

---

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