Atkin-Lehner |
2+ 3- 11+ 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
104346p |
Isogeny class |
Conductor |
104346 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
467363229696 = 212 · 39 · 11 · 17 · 31 |
Discriminant |
Eigenvalues |
2+ 3- -1 0 11+ -3 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-8820,-314928] |
[a1,a2,a3,a4,a6] |
Generators |
[-57:42:1] [-56:60:1] |
Generators of the group modulo torsion |
j |
104094944089921/641101824 |
j-invariant |
L |
8.1403711914633 |
L(r)(E,1)/r! |
Ω |
0.49282327913713 |
Real period |
R |
2.0647287617323 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000464 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34782bf1 |
Quadratic twists by: -3 |