Atkin-Lehner |
2- 3- 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
78078dd |
Isogeny class |
Conductor |
78078 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
15413130822685596 = 22 · 3 · 7 · 113 · 1310 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 11+ 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-100773267,389364860325] |
[a1,a2,a3,a4,a6] |
j |
23447665694255643433657/3193234044 |
j-invariant |
L |
7.1893253279535 |
L(r)(E,1)/r! |
Ω |
0.22466641788048 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6006l4 |
Quadratic twists by: 13 |