Atkin-Lehner |
3- 13+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
101907j |
Isogeny class |
Conductor |
101907 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1036800 |
Modular degree for the optimal curve |
Δ |
-57288667172841 = -1 · 311 · 136 · 67 |
Discriminant |
Eigenvalues |
1 3- -3 3 0 13+ -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1208466,-511026359] |
[a1,a2,a3,a4,a6] |
Generators |
[717018962:185679326243:10648] |
Generators of the group modulo torsion |
j |
-55467626237353/16281 |
j-invariant |
L |
7.068390516651 |
L(r)(E,1)/r! |
Ω |
0.071996423926456 |
Real period |
R |
12.272120840799 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000572 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33969c1 603c1 |
Quadratic twists by: -3 13 |