Atkin-Lehner |
2+ 5- 7+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
77350t |
Isogeny class |
Conductor |
77350 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
17122560 |
Modular degree for the optimal curve |
Δ |
-7.5403615349484E+24 |
Discriminant |
Eigenvalues |
2+ -2 5- 7+ 3 13- 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,21379299,-126516387202] |
[a1,a2,a3,a4,a6] |
Generators |
[94287485110:2830304874443:24389000] |
Generators of the group modulo torsion |
j |
2766585459536080607255/19303325529467992558 |
j-invariant |
L |
2.7216223538208 |
L(r)(E,1)/r! |
Ω |
0.03696833291696 |
Real period |
R |
18.405092541867 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77350bf1 |
Quadratic twists by: 5 |