Atkin-Lehner |
5+ 29- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
10295a |
Isogeny class |
Conductor |
10295 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
12032 |
Modular degree for the optimal curve |
Δ |
-23324609375 = -1 · 58 · 292 · 71 |
Discriminant |
Eigenvalues |
1 0 5+ -4 6 -2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6040,-179325] |
[a1,a2,a3,a4,a6] |
j |
-24371091085312089/23324609375 |
j-invariant |
L |
0.2707584568824 |
L(r)(E,1)/r! |
Ω |
0.2707584568824 |
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 |
92655i1 51475c1 |
Quadratic twists by: -3 5 |