Atkin-Lehner |
2- 7+ 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
59696p |
Isogeny class |
Conductor |
59696 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5568 |
Modular degree for the optimal curve |
Δ |
-955136 = -1 · 28 · 7 · 13 · 41 |
Discriminant |
Eigenvalues |
2- 1 1 7+ 0 13- -3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5,-49] |
[a1,a2,a3,a4,a6] |
j |
-65536/3731 |
j-invariant |
L |
2.4492833001193 |
L(r)(E,1)/r! |
Ω |
1.2246416507853 |
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 |
14924f1 |
Quadratic twists by: -4 |