Atkin-Lehner |
2+ 3- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
117624n |
Isogeny class |
Conductor |
117624 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
50688 |
Modular degree for the optimal curve |
Δ |
-636110592 = -1 · 28 · 3 · 134 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 2 -1 1 13+ 5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-732,-7968] |
[a1,a2,a3,a4,a6] |
j |
-5940688/87 |
j-invariant |
L |
2.7508403184256 |
L(r)(E,1)/r! |
Ω |
0.45847350075447 |
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 |
117624bs1 |
Quadratic twists by: 13 |