Atkin-Lehner |
2- 3- 5- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
33660i |
Isogeny class |
Conductor |
33660 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
38016 |
Modular degree for the optimal curve |
Δ |
-105568531200 = -1 · 28 · 36 · 52 · 113 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 11+ -4 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2352,-46604] |
[a1,a2,a3,a4,a6] |
Generators |
[706:5265:8] |
Generators of the group modulo torsion |
j |
-7710244864/565675 |
j-invariant |
L |
5.7914190467979 |
L(r)(E,1)/r! |
Ω |
0.34133554997153 |
Real period |
R |
4.2417344511001 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3740b1 |
Quadratic twists by: -3 |