Atkin-Lehner |
2- 13+ 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
90896i |
Isogeny class |
Conductor |
90896 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
304128 |
Modular degree for the optimal curve |
Δ |
223648115851264 = 223 · 132 · 193 · 23 |
Discriminant |
Eigenvalues |
2- 1 -3 0 -5 13+ -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-43792,-3467756] |
[a1,a2,a3,a4,a6] |
Generators |
[-126:256:1] |
Generators of the group modulo torsion |
j |
2267556001279633/54601590784 |
j-invariant |
L |
3.5355205907958 |
L(r)(E,1)/r! |
Ω |
0.3305120346791 |
Real period |
R |
1.337137613731 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011071 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11362i1 |
Quadratic twists by: -4 |