Atkin-Lehner |
2- 7- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
73346ba |
Isogeny class |
Conductor |
73346 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
31104 |
Modular degree for the optimal curve |
Δ |
-28751632 = -1 · 24 · 73 · 132 · 31 |
Discriminant |
Eigenvalues |
2- 2 4 7- 1 13+ 1 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,29,-239] |
[a1,a2,a3,a4,a6] |
j |
15925559/170128 |
j-invariant |
L |
12.410299170963 |
L(r)(E,1)/r! |
Ω |
1.0341915978283 |
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 |
73346g1 |
Quadratic twists by: 13 |