Cremona's table of elliptic curves

2320 = 2⁴ · 5 · 29

Field	Data	Notes
Atkin-Lehner	2+ 5- 29-	Signs for the Atkin-Lehner involutions
Class	2320d	Isogeny class
Conductor	2320	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	256	Modular degree for the optimal curve
Δ	11600 = 24 · 52 · 29	Discriminant
Eigenvalues	2+  0 5-  0  0 -2 -6  8	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-242,-1449]	[a1,a2,a3,a4,a6]
Generators	[1188:1365:64]	Generators of the group modulo torsion
j	97960237056/725	j-invariant
L	3.1977916989553	L(r)(E,1)/r!
Ω	1.2104473557335	Real period
R	5.2836526657824	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	1160c1 9280m1 20880h1 11600g1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2320d1

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

---

Quadratic twists for elliptic curve 2320d1

-4	8	-3	5	-7	29
1160c1	9280m1	20880h1	11600g1	113680d1	67280f1

---

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