Atkin-Lehner |
2+ 3- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
71478v |
Isogeny class |
Conductor |
71478 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
328320 |
Modular degree for the optimal curve |
Δ |
544764768103116 = 22 · 36 · 11 · 198 |
Discriminant |
Eigenvalues |
2+ 3- -1 -3 11- 4 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-24435,-942791] |
[a1,a2,a3,a4,a6] |
Generators |
[-90:767:1] |
Generators of the group modulo torsion |
j |
130321/44 |
j-invariant |
L |
3.5694850597866 |
L(r)(E,1)/r! |
Ω |
0.3922708787834 |
Real period |
R |
0.75829510786468 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999204 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7942m1 71478cp1 |
Quadratic twists by: -3 -19 |