Atkin-Lehner |
2- 3+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
99372z |
Isogeny class |
Conductor |
99372 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
86261760 |
Modular degree for the optimal curve |
Δ |
1.540836903356E+25 |
Discriminant |
Eigenvalues |
2- 3+ 4 7- 0 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4218849301,105473711020378] |
[a1,a2,a3,a4,a6] |
j |
416013434950254592/771895089 |
j-invariant |
L |
2.9970790667125 |
L(r)(E,1)/r! |
Ω |
0.059941580486294 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14196q1 99372ba1 |
Quadratic twists by: -7 13 |