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	10320bj	Isogeny class
Conductor	10320	Conductor
∏ cp	24	Product of Tamagawa factors cp
deg	4608	Modular degree for the optimal curve
Δ	118886400 = 212 · 33 · 52 · 43	Discriminant
Eigenvalues	2- 3- 5- -4  2  2  0 -6	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-360,-2700]	[a1,a2,a3,a4,a6]
Generators	[-12:6:1]	Generators of the group modulo torsion
j	1263214441/29025	j-invariant
L	5.2417026551418	L(r)(E,1)/r!
Ω	1.0973143991864	Real period
R	0.79614111492391	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	645b1 41280cb1 30960br1 51600bv1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 10320bj1

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
-	-	-	-4	2	2	0	-6	0	10	-8	-4	-10	-	0	12	6	-10	-12	-4	-8	16	12	-10	6

---

Quadratic twists for elliptic curve 10320bj1

-4	8	-3	5
645b1	41280cb1	30960br1	51600bv1

---

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