Atkin-Lehner |
2+ 7- 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
103334q |
Isogeny class |
Conductor |
103334 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-232988616476 = -1 · 22 · 72 · 117 · 61 |
Discriminant |
Eigenvalues |
2+ 0 -2 7- 11- -6 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1127,-18375] |
[a1,a2,a3,a4,a6] |
j |
89314623/131516 |
j-invariant |
L |
1.0508654342112 |
L(r)(E,1)/r! |
Ω |
0.52543274403775 |
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 |
9394f1 |
Quadratic twists by: -11 |