Atkin-Lehner |
5- 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
39715k |
Isogeny class |
Conductor |
39715 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
40392 |
Modular degree for the optimal curve |
Δ |
-28357502875 = -1 · 53 · 136 · 47 |
Discriminant |
Eigenvalues |
-2 2 5- 2 0 13+ 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,620,5306] |
[a1,a2,a3,a4,a6] |
j |
5451776/5875 |
j-invariant |
L |
2.3508212218423 |
L(r)(E,1)/r! |
Ω |
0.78360707397727 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
235c1 |
Quadratic twists by: 13 |