Atkin-Lehner |
2+ 19- 31- |
Signs for the Atkin-Lehner involutions |
Class |
89528c |
Isogeny class |
Conductor |
89528 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
-219906749741824 = -1 · 28 · 197 · 312 |
Discriminant |
Eigenvalues |
2+ 0 3 1 3 -2 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-41876,3374628] |
[a1,a2,a3,a4,a6] |
Generators |
[152:722:1] |
Generators of the group modulo torsion |
j |
-674307072/18259 |
j-invariant |
L |
9.2216192495284 |
L(r)(E,1)/r! |
Ω |
0.55877205913793 |
Real period |
R |
0.51573015610249 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009121 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4712a1 |
Quadratic twists by: -19 |