Cremona's table of elliptic curves

24640 = 2⁶ · 5 · 7 · 11

Field	Data	Notes
Atkin-Lehner	2- 5+ 7+ 11-	Signs for the Atkin-Lehner involutions
Class	24640bf	Isogeny class
Conductor	24640	Conductor
∏ cp	12	Product of Tamagawa factors cp
Δ	-253970984960 = -1 · 212 · 5 · 7 · 116	Discriminant
Eigenvalues	2-  0 5+ 7+ 11-  2  2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-1588,-34368]	[a1,a2,a3,a4,a6]
Generators	[752:20592:1]	Generators of the group modulo torsion
j	-108122295744/62004635	j-invariant
L	4.3803054588646	L(r)(E,1)/r!
Ω	0.36839265982914	Real period
R	3.9634389574937	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	24640bj2 12320f1 123200gb2	Quadratic twists by: -4 8 5

Hecke Eigenvalues for elliptic curve 24640bf2

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

---

Quadratic twists for elliptic curve 24640bf2

-4	8	5
24640bj2	12320f1	123200gb2

---

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