Atkin-Lehner |
2+ 3- 5+ 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
48720m |
Isogeny class |
Conductor |
48720 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
33792 |
Modular degree for the optimal curve |
Δ |
5303854080 = 210 · 36 · 5 · 72 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 4 0 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2296,41444] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:252:1] |
Generators of the group modulo torsion |
j |
1307761493476/5179545 |
j-invariant |
L |
7.1222372375634 |
L(r)(E,1)/r! |
Ω |
1.3653707094519 |
Real period |
R |
0.43469496283191 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24360q1 |
Quadratic twists by: -4 |