Atkin-Lehner |
2+ 5+ 23+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
90850a |
Isogeny class |
Conductor |
90850 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
-65298437500 = -1 · 22 · 58 · 232 · 79 |
Discriminant |
Eigenvalues |
2+ 2 5+ 2 0 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1875,-34375] |
[a1,a2,a3,a4,a6] |
Generators |
[7700:74525:64] |
Generators of the group modulo torsion |
j |
-46694890801/4179100 |
j-invariant |
L |
7.7125359161045 |
L(r)(E,1)/r! |
Ω |
0.36089334021998 |
Real period |
R |
5.3426698777731 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005933 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18170e1 |
Quadratic twists by: 5 |