Atkin-Lehner |
2- 3- 7- 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
25116j |
Isogeny class |
Conductor |
25116 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
15552 |
Modular degree for the optimal curve |
Δ |
19139597568 = 28 · 36 · 73 · 13 · 23 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 3 13- -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-813,5679] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:63:1] |
Generators of the group modulo torsion |
j |
232428544000/74764053 |
j-invariant |
L |
7.1930779010808 |
L(r)(E,1)/r! |
Ω |
1.1277882856802 |
Real period |
R |
1.0630065341774 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
100464bd1 75348p1 |
Quadratic twists by: -4 -3 |