Atkin-Lehner |
5- 11+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
19525f |
Isogeny class |
Conductor |
19525 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
14080 |
Modular degree for the optimal curve |
Δ |
1525390625 = 59 · 11 · 71 |
Discriminant |
Eigenvalues |
1 -2 5- -2 11+ -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2076,36173] |
[a1,a2,a3,a4,a6] |
Generators |
[43:142:1] |
Generators of the group modulo torsion |
j |
506261573/781 |
j-invariant |
L |
2.6420336868342 |
L(r)(E,1)/r! |
Ω |
1.5064736086846 |
Real period |
R |
3.5075738089313 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19525g1 |
Quadratic twists by: 5 |