Atkin-Lehner |
3- 7+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
117117p |
Isogeny class |
Conductor |
117117 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1161216 |
Modular degree for the optimal curve |
Δ |
126579547633596057 = 39 · 7 · 114 · 137 |
Discriminant |
Eigenvalues |
1 3- -2 7+ 11+ 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-139203,-10290344] |
[a1,a2,a3,a4,a6] |
j |
84778086457/35972937 |
j-invariant |
L |
1.0270162086115 |
L(r)(E,1)/r! |
Ω |
0.25675404378035 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39039j1 9009l1 |
Quadratic twists by: -3 13 |