Atkin-Lehner |
2- 3+ 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
78078cn |
Isogeny class |
Conductor |
78078 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
deg |
2580480 |
Modular degree for the optimal curve |
Δ |
-9.6834400486512E+19 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 11- 13+ -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1537988,-874203595] |
[a1,a2,a3,a4,a6] |
j |
-83353234419015625/20061784190448 |
j-invariant |
L |
4.2837315506089 |
L(r)(E,1)/r! |
Ω |
0.066933305547809 |
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 |
6006a1 |
Quadratic twists by: 13 |