Atkin-Lehner |
3- 5+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
103455r |
Isogeny class |
Conductor |
103455 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
60731281242225 = 38 · 52 · 117 · 19 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 11- 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1067243,424634906] |
[a1,a2,a3,a4,a6] |
j |
104094944089921/47025 |
j-invariant |
L |
1.0173810687424 |
L(r)(E,1)/r! |
Ω |
0.50869043871506 |
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 |
34485q1 9405h1 |
Quadratic twists by: -3 -11 |