Atkin-Lehner |
3- 37+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
5217a |
Isogeny class |
Conductor |
5217 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
6496 |
Modular degree for the optimal curve |
Δ |
-307750574367 = -1 · 314 · 372 · 47 |
Discriminant |
Eigenvalues |
1 3- 4 4 0 -2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,611,26099] |
[a1,a2,a3,a4,a6] |
j |
25285334730551/307750574367 |
j-invariant |
L |
5.0086923039053 |
L(r)(E,1)/r! |
Ω |
0.71552747198647 |
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 |
83472l1 15651b1 |
Quadratic twists by: -4 -3 |