Atkin-Lehner |
2+ 3+ 5+ 7- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
39270k |
Isogeny class |
Conductor |
39270 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-38704512000 = -1 · 210 · 3 · 53 · 72 · 112 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 11- 4 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-688,-12032] |
[a1,a2,a3,a4,a6] |
j |
-36097320816649/38704512000 |
j-invariant |
L |
0.89409423025757 |
L(r)(E,1)/r! |
Ω |
0.44704711512556 |
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 |
117810ei1 |
Quadratic twists by: -3 |