Atkin-Lehner |
2- 3- 11- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
87516h |
Isogeny class |
Conductor |
87516 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
400353874981632 = 28 · 37 · 114 · 132 · 172 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 11- 13- 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-46335,-3716282] |
[a1,a2,a3,a4,a6] |
Generators |
[-133:306:1] [287:2574:1] |
Generators of the group modulo torsion |
j |
58949987938000/2145243243 |
j-invariant |
L |
10.857826433788 |
L(r)(E,1)/r! |
Ω |
0.32613180753527 |
Real period |
R |
0.69359906686533 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999995142 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29172h2 |
Quadratic twists by: -3 |