Atkin-Lehner |
2- 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
91728ec |
Isogeny class |
Conductor |
91728 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
-126881471761035264 = -1 · 212 · 310 · 79 · 13 |
Discriminant |
Eigenvalues |
2- 3- -1 7- -2 13+ -4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-185808,-35271376] |
[a1,a2,a3,a4,a6] |
j |
-2019487744/361179 |
j-invariant |
L |
0.45546578314986 |
L(r)(E,1)/r! |
Ω |
0.11386645536498 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5733h1 30576bp1 13104bw1 |
Quadratic twists by: -4 -3 -7 |