Atkin-Lehner |
3- 5+ 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
119925bb |
Isogeny class |
Conductor |
119925 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
30356015625 = 36 · 57 · 13 · 41 |
Discriminant |
Eigenvalues |
1 3- 5+ -2 0 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-12417,535616] |
[a1,a2,a3,a4,a6] |
Generators |
[494:59:8] |
Generators of the group modulo torsion |
j |
18588565449/2665 |
j-invariant |
L |
7.5232046566358 |
L(r)(E,1)/r! |
Ω |
1.1342576605246 |
Real period |
R |
3.3163561311705 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999508452 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13325f1 23985m1 |
Quadratic twists by: -3 5 |