Atkin-Lehner |
3+ 5- 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
33825j |
Isogeny class |
Conductor |
33825 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
14400 |
Modular degree for the optimal curve |
Δ |
-5813671875 = -1 · 3 · 58 · 112 · 41 |
Discriminant |
Eigenvalues |
0 3+ 5- 2 11- 2 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-833,-9682] |
[a1,a2,a3,a4,a6] |
j |
-163840000/14883 |
j-invariant |
L |
0.88400200629035 |
L(r)(E,1)/r! |
Ω |
0.44200100314621 |
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 |
101475bw1 33825u1 |
Quadratic twists by: -3 5 |