Atkin-Lehner |
2- 3- 7+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
78078cw |
Isogeny class |
Conductor |
78078 |
Conductor |
∏ cp |
360 |
Product of Tamagawa factors cp |
deg |
139345920 |
Modular degree for the optimal curve |
Δ |
8.8707616493281E+21 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 11- 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-52222914013,4593453819152561] |
[a1,a2,a3,a4,a6] |
j |
3263224124812796801735447265625/1837810787484672 |
j-invariant |
L |
5.0230074907385 |
L(r)(E,1)/r! |
Ω |
0.055811194950792 |
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 |
6006o1 |
Quadratic twists by: 13 |