Atkin-Lehner |
2- 19- 47- |
Signs for the Atkin-Lehner involutions |
Class |
33934m |
Isogeny class |
Conductor |
33934 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1209600 |
Modular degree for the optimal curve |
Δ |
-7.4316032374501E+20 |
Discriminant |
Eigenvalues |
2- -1 -2 -3 0 -1 7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,2127546,-540941093] |
[a1,a2,a3,a4,a6] |
j |
22638047668438103/15796501371608 |
j-invariant |
L |
1.0848480728909 |
L(r)(E,1)/r! |
Ω |
0.090404006075175 |
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 |
1786b1 |
Quadratic twists by: -19 |