Atkin-Lehner |
2+ 7- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
93632i |
Isogeny class |
Conductor |
93632 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
51200 |
Modular degree for the optimal curve |
Δ |
4495553216 = 26 · 72 · 11 · 194 |
Discriminant |
Eigenvalues |
2+ 0 2 7- 11+ 2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-839,-8780] |
[a1,a2,a3,a4,a6] |
Generators |
[290:735:8] |
Generators of the group modulo torsion |
j |
1020539034432/70243019 |
j-invariant |
L |
7.8023236173256 |
L(r)(E,1)/r! |
Ω |
0.89091504193233 |
Real period |
R |
4.3788258423594 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992382 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
93632f1 46816d3 |
Quadratic twists by: -4 8 |