Atkin-Lehner |
2+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
100672bz |
Isogeny class |
Conductor |
100672 |
Conductor |
∏ cp |
6 |
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 |
[-11:11:1] |
Generators of the group modulo torsion |
j |
209088/13 |
j-invariant |
L |
6.0683581106789 |
L(r)(E,1)/r! |
Ω |
1.0218241582811 |
Real period |
R |
0.98979164389966 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000049882 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100672by1 50336u1 100672bc1 |
Quadratic twists by: -4 8 -11 |