Atkin-Lehner |
5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
29575q |
Isogeny class |
Conductor |
29575 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
112896 |
Modular degree for the optimal curve |
Δ |
64952558659625 = 53 · 72 · 139 |
Discriminant |
Eigenvalues |
-1 2 5- 7+ -6 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-40648,-3147344] |
[a1,a2,a3,a4,a6] |
j |
12310389629/107653 |
j-invariant |
L |
0.67281992251884 |
L(r)(E,1)/r! |
Ω |
0.33640996125987 |
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 |
29575v1 2275g1 |
Quadratic twists by: 5 13 |