Atkin-Lehner |
2- 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
78650cf |
Isogeny class |
Conductor |
78650 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
4866048 |
Modular degree for the optimal curve |
Δ |
4.3541647703125E+21 |
Discriminant |
Eigenvalues |
2- 1 5+ 2 11- 13- 1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4083813,-105104383] |
[a1,a2,a3,a4,a6] |
j |
2248846192681/1300000000 |
j-invariant |
L |
5.575524057666 |
L(r)(E,1)/r! |
Ω |
0.11615675178214 |
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 |
15730l1 78650e1 |
Quadratic twists by: 5 -11 |