Atkin-Lehner |
2- 7+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
104104r |
Isogeny class |
Conductor |
104104 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
59222016 |
Modular degree for the optimal curve |
Δ |
-4.0735181655374E+21 |
Discriminant |
Eigenvalues |
2- -2 1 7+ 11- 13+ -6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6187644545,-187344492762413] |
[a1,a2,a3,a4,a6] |
Generators |
[11477745:540229118:125] |
Generators of the group modulo torsion |
j |
-21203116761178214318777344/3296625230899 |
j-invariant |
L |
4.2315407637936 |
L(r)(E,1)/r! |
Ω |
0.0085111495123717 |
Real period |
R |
7.7683777620186 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999747649 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8008a1 |
Quadratic twists by: 13 |