Atkin-Lehner |
2+ 3- 5- 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
50310ba |
Isogeny class |
Conductor |
50310 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
11182080 |
Modular degree for the optimal curve |
Δ |
7.5929650731418E+24 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 2 13+ -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-79779924,240126735568] |
[a1,a2,a3,a4,a6] |
j |
77033040819870172293281089/10415589949440000000000 |
j-invariant |
L |
1.4273692173114 |
L(r)(E,1)/r! |
Ω |
0.071368460901868 |
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 |
16770u1 |
Quadratic twists by: -3 |