Cremona's table of elliptic curves

10320 = 2⁴ · 3 · 5 · 43

Field	Data	Notes
Atkin-Lehner	2- 3- 5- 43-	Signs for the Atkin-Lehner involutions
Class	10320bg	Isogeny class
Conductor	10320	Conductor
∏ cp	440	Product of Tamagawa factors cp
deg	253440	Modular degree for the optimal curve
Δ	4875085440000000000 = 216 · 311 · 510 · 43	Discriminant
Eigenvalues	2- 3- 5-  0 -6  2  0  2	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-2472440,1491762900]	[a1,a2,a3,a4,a6]
Generators	[820:4050:1]	Generators of the group modulo torsion
j	408076159454905367161/1190206406250000	j-invariant
L	5.5860362869985	L(r)(E,1)/r!
Ω	0.24422095889117	Real period
R	0.20793525786725	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	1290b1 41280by1 30960bl1 51600bo1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 10320bg1

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

---

Quadratic twists for elliptic curve 10320bg1

-4	8	-3	5
1290b1	41280by1	30960bl1	51600bo1

---

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