Atkin-Lehner |
3+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
10527b |
Isogeny class |
Conductor |
10527 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
33600 |
Modular degree for the optimal curve |
Δ |
35842110543657 = 37 · 117 · 292 |
Discriminant |
Eigenvalues |
-1 3+ -2 2 11- -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-59474,-5599978] |
[a1,a2,a3,a4,a6] |
j |
13132563308857/20231937 |
j-invariant |
L |
0.30574397881358 |
L(r)(E,1)/r! |
Ω |
0.30574397881358 |
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 |
31581m1 957a1 |
Quadratic twists by: -3 -11 |