Atkin-Lehner |
2+ 3- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
117624r |
Isogeny class |
Conductor |
117624 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
658944 |
Modular degree for the optimal curve |
Δ |
-186919437549312 = -1 · 28 · 311 · 132 · 293 |
Discriminant |
Eigenvalues |
2+ 3- 4 3 -3 13+ 5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,9044,-565408] |
[a1,a2,a3,a4,a6] |
j |
1890735080624/4320438183 |
j-invariant |
L |
6.474389793607 |
L(r)(E,1)/r! |
Ω |
0.29429052149831 |
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 |
117624bv1 |
Quadratic twists by: 13 |