Atkin-Lehner |
2+ 3- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
117624u |
Isogeny class |
Conductor |
117624 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-113957895168 = -1 · 210 · 33 · 132 · 293 |
Discriminant |
Eigenvalues |
2+ 3- -2 1 5 13+ -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,256,-16080] |
[a1,a2,a3,a4,a6] |
Generators |
[124:1392:1] |
Generators of the group modulo torsion |
j |
10679708/658503 |
j-invariant |
L |
8.3972467138304 |
L(r)(E,1)/r! |
Ω |
0.50239873594374 |
Real period |
R |
0.92857261348156 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999802537 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117624by1 |
Quadratic twists by: 13 |