Atkin-Lehner |
2+ 3+ 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
78078w |
Isogeny class |
Conductor |
78078 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
5750784 |
Modular degree for the optimal curve |
Δ |
-4.8601981439095E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 11- 13- -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-14947884,-22253004288] |
[a1,a2,a3,a4,a6] |
j |
-34831545398780941/4583147184 |
j-invariant |
L |
0.15356105193334 |
L(r)(E,1)/r! |
Ω |
0.038390272702282 |
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 |
78078cc1 |
Quadratic twists by: 13 |