Atkin-Lehner |
2+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
100672by |
Isogeny class |
Conductor |
100672 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
79872 |
Modular degree for the optimal curve |
Δ |
779603968 = 212 · 114 · 13 |
Discriminant |
Eigenvalues |
2+ 3 2 -4 11- 13- -1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-484,3872] |
[a1,a2,a3,a4,a6] |
Generators |
[408:80:27] |
Generators of the group modulo torsion |
j |
209088/13 |
j-invariant |
L |
13.008171655603 |
L(r)(E,1)/r! |
Ω |
1.5673073361552 |
Real period |
R |
4.1498471112993 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009747 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100672bz1 50336i1 100672ba1 |
Quadratic twists by: -4 8 -11 |