Atkin-Lehner |
2+ 3- 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
78078bo |
Isogeny class |
Conductor |
78078 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
339456 |
Modular degree for the optimal curve |
Δ |
263375218089984 = 213 · 3 · 78 · 11 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 1 7- 11- 13+ 5 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-18113,-521740] |
[a1,a2,a3,a4,a6] |
j |
3888424774885729/1558433243136 |
j-invariant |
L |
3.4084836458847 |
L(r)(E,1)/r! |
Ω |
0.42606045343949 |
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 |
78078cu1 |
Quadratic twists by: 13 |