Atkin-Lehner |
2- 3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
33120bf |
Isogeny class |
Conductor |
33120 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
13312 |
Modular degree for the optimal curve |
Δ |
-370215360 = -1 · 26 · 37 · 5 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 -2 -4 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-93,-988] |
[a1,a2,a3,a4,a6] |
j |
-1906624/7935 |
j-invariant |
L |
1.4002656734673 |
L(r)(E,1)/r! |
Ω |
0.7001328367336 |
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 |
33120i1 66240de1 11040d1 |
Quadratic twists by: -4 8 -3 |