Atkin-Lehner |
3- 5+ 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
33825u |
Isogeny class |
Conductor |
33825 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2880 |
Modular degree for the optimal curve |
Δ |
-372075 = -1 · 3 · 52 · 112 · 41 |
Discriminant |
Eigenvalues |
0 3- 5+ -2 11- -2 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-33,-91] |
[a1,a2,a3,a4,a6] |
j |
-163840000/14883 |
j-invariant |
L |
1.9766885783183 |
L(r)(E,1)/r! |
Ω |
0.98834428915803 |
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 |
101475bc1 33825j1 |
Quadratic twists by: -3 5 |