Atkin-Lehner |
2- 31- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
90334q |
Isogeny class |
Conductor |
90334 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
10344742905736 = 23 · 317 · 47 |
Discriminant |
Eigenvalues |
2- 1 -1 3 2 0 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-5786,68444] |
[a1,a2,a3,a4,a6] |
Generators |
[-290:3989:8] |
Generators of the group modulo torsion |
j |
24137569/11656 |
j-invariant |
L |
12.959086306266 |
L(r)(E,1)/r! |
Ω |
0.643246629526 |
Real period |
R |
1.6788643871447 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003643 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2914g1 |
Quadratic twists by: -31 |