Atkin-Lehner |
2- 11- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
78166l |
Isogeny class |
Conductor |
78166 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
15523200 |
Modular degree for the optimal curve |
Δ |
-4.1723067726065E+19 |
Discriminant |
Eigenvalues |
2- -3 2 2 11- 4 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-102647469,400311855045] |
[a1,a2,a3,a4,a6] |
j |
-557990702963126954433/194641190192 |
j-invariant |
L |
3.2877569347396 |
L(r)(E,1)/r! |
Ω |
0.16438784806067 |
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 |
78166e1 |
Quadratic twists by: -11 |