Atkin-Lehner |
2- 7+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
104104s |
Isogeny class |
Conductor |
104104 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
539136 |
Modular degree for the optimal curve |
Δ |
787904514645248 = 28 · 73 · 11 · 138 |
Discriminant |
Eigenvalues |
2- -2 2 7+ 11- 13+ -2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-55657,4851627] |
[a1,a2,a3,a4,a6] |
Generators |
[254:2677:1] |
Generators of the group modulo torsion |
j |
91307008/3773 |
j-invariant |
L |
5.5150169253026 |
L(r)(E,1)/r! |
Ω |
0.49905936524661 |
Real period |
R |
5.52541170911 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008619 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104104i1 |
Quadratic twists by: 13 |