Atkin-Lehner |
2+ 3+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
43320b |
Isogeny class |
Conductor |
43320 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
766080 |
Modular degree for the optimal curve |
Δ |
-1.4898491006456E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 1 -4 -1 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1476971,715901520] |
[a1,a2,a3,a4,a6] |
j |
-3632318464/151875 |
j-invariant |
L |
0.87950686287974 |
L(r)(E,1)/r! |
Ω |
0.219876715703 |
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 |
86640s1 129960cq1 43320ba1 |
Quadratic twists by: -4 -3 -19 |