Cremona's table of elliptic curves

2530 = 2 · 5 · 11 · 23

Field	Data	Notes
Atkin-Lehner	2+ 5- 11- 23+	Signs for the Atkin-Lehner involutions
Class	2530d	Isogeny class
Conductor	2530	Conductor
∏ cp	3	Product of Tamagawa factors cp
deg	384	Modular degree for the optimal curve
Δ	-63250 = -1 · 2 · 53 · 11 · 23	Discriminant
Eigenvalues	2+  2 5- -1 11- -6 -8  3	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,8,-6]	[a1,a2,a3,a4,a6]
Generators	[3:6:1]	Generators of the group modulo torsion
j	46268279/63250	j-invariant
L	3.2743053294311	L(r)(E,1)/r!
Ω	1.8604967774737	Real period
R	0.5866363882083	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	20240u1 80960e1 22770bj1 12650w1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2530d1

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	-	-1	-	-6	-8	3	+	-3	8	-10	-2	-8	9	-10	-5	14	7	8	-13	-10	12	-10	7

---

Quadratic twists for elliptic curve 2530d1

-4	8	-3	5	-7	-11	-23
20240u1	80960e1	22770bj1	12650w1	123970i1	27830w1	58190b1

---

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