Atkin-Lehner |
2+ 3- 5+ 7+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
117810bf |
Isogeny class |
Conductor |
117810 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
105121391760 = 24 · 310 · 5 · 7 · 11 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 11- -6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-20970,-1163484] |
[a1,a2,a3,a4,a6] |
Generators |
[-83:50:1] [172:458:1] |
Generators of the group modulo torsion |
j |
1398953002396321/144199440 |
j-invariant |
L |
7.914313800232 |
L(r)(E,1)/r! |
Ω |
0.39673604754864 |
Real period |
R |
4.9871405972215 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000004786 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39270cs1 |
Quadratic twists by: -3 |