Atkin-Lehner |
2+ 5+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
39710g |
Isogeny class |
Conductor |
39710 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
62928570425600 = 28 · 52 · 11 · 197 |
Discriminant |
Eigenvalues |
2+ 2 5+ 2 11+ 2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-11198,245108] |
[a1,a2,a3,a4,a6] |
j |
3301293169/1337600 |
j-invariant |
L |
2.2565025742622 |
L(r)(E,1)/r! |
Ω |
0.56412564356763 |
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 |
2090l1 |
Quadratic twists by: -19 |