Atkin-Lehner |
2- 3- 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
115434bo |
Isogeny class |
Conductor |
115434 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
1892352 |
Modular degree for the optimal curve |
Δ |
-4636962968147414784 = -1 · 28 · 313 · 118 · 53 |
Discriminant |
Eigenvalues |
2- 3- -1 -1 11- -2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-451958,156352133] |
[a1,a2,a3,a4,a6] |
Generators |
[1059:28873:1] [-117:14467:1] |
Generators of the group modulo torsion |
j |
-65335322041/29673216 |
j-invariant |
L |
16.28162656773 |
L(r)(E,1)/r! |
Ω |
0.22842567533215 |
Real period |
R |
0.74247466495078 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999993388 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38478f1 115434o1 |
Quadratic twists by: -3 -11 |