Atkin-Lehner |
3+ 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
33033o |
Isogeny class |
Conductor |
33033 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
-5474277615807 = -1 · 32 · 74 · 117 · 13 |
Discriminant |
Eigenvalues |
-1 3+ 2 7- 11- 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,1268,-110692] |
[a1,a2,a3,a4,a6] |
j |
127263527/3090087 |
j-invariant |
L |
0.73828989830338 |
L(r)(E,1)/r! |
Ω |
0.36914494914862 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
99099cb1 3003a1 |
Quadratic twists by: -3 -11 |