Atkin-Lehner |
2+ 5+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
33440g |
Isogeny class |
Conductor |
33440 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
4377600 |
Modular degree for the optimal curve |
Δ |
-3.0800691713687E+20 |
Discriminant |
Eigenvalues |
2+ 0 5+ -4 11- 6 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-167761433,836347042868] |
[a1,a2,a3,a4,a6] |
j |
-8158684134807495855192505536/4812608080263671875 |
j-invariant |
L |
1.4188231265712 |
L(r)(E,1)/r! |
Ω |
0.14188231265692 |
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 |
33440u1 66880bd2 |
Quadratic twists by: -4 8 |