Atkin-Lehner |
2- 5- 13+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
69680ba |
Isogeny class |
Conductor |
69680 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
38400 |
Modular degree for the optimal curve |
Δ |
-905840 = -1 · 24 · 5 · 132 · 67 |
Discriminant |
Eigenvalues |
2- -1 5- 1 2 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6430,200615] |
[a1,a2,a3,a4,a6] |
Generators |
[41:65:1] |
Generators of the group modulo torsion |
j |
-1837825141547776/56615 |
j-invariant |
L |
5.3769643019658 |
L(r)(E,1)/r! |
Ω |
2.0536973237291 |
Real period |
R |
1.3090936622481 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001165 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17420g1 |
Quadratic twists by: -4 |