Atkin-Lehner |
2- 3+ 17- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
100368bg |
Isogeny class |
Conductor |
100368 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-224772931584 = -1 · 214 · 39 · 17 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 3 1 0 -4 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-891,25002] |
[a1,a2,a3,a4,a6] |
Generators |
[93:864:1] |
Generators of the group modulo torsion |
j |
-970299/2788 |
j-invariant |
L |
9.1129737627679 |
L(r)(E,1)/r! |
Ω |
0.87587128920123 |
Real period |
R |
1.300558352059 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999986536 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12546i1 100368bf1 |
Quadratic twists by: -4 -3 |