Atkin-Lehner |
2+ 5- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
78650bo |
Isogeny class |
Conductor |
78650 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
3921600 |
Modular degree for the optimal curve |
Δ |
-4.6004687872E+19 |
Discriminant |
Eigenvalues |
2+ -2 5- -4 11- 13- 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-110201,-326644452] |
[a1,a2,a3,a4,a6] |
j |
-626266590653/194664464384 |
j-invariant |
L |
0.90352612968673 |
L(r)(E,1)/r! |
Ω |
0.090352599375429 |
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 |
78650dc1 78650dg1 |
Quadratic twists by: 5 -11 |