Atkin-Lehner |
2- 3- 31+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
92628b |
Isogeny class |
Conductor |
92628 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
216576 |
Modular degree for the optimal curve |
Δ |
-8046645861168 = -1 · 24 · 38 · 314 · 83 |
Discriminant |
Eigenvalues |
2- 3- 0 4 -4 -6 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8400,-326243] |
[a1,a2,a3,a4,a6] |
Generators |
[15563996:-410755239:21952] |
Generators of the group modulo torsion |
j |
-5619712000000/689870187 |
j-invariant |
L |
5.7718150302228 |
L(r)(E,1)/r! |
Ω |
0.24764180054835 |
Real period |
R |
11.653555691603 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002953 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30876c1 |
Quadratic twists by: -3 |