Atkin-Lehner |
2- 3+ 7+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
78078bw |
Isogeny class |
Conductor |
78078 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2968111043898 = 2 · 3 · 7 · 114 · 136 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 11+ 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-38282,-2897731] |
[a1,a2,a3,a4,a6] |
j |
1285429208617/614922 |
j-invariant |
L |
2.7305698963913 |
L(r)(E,1)/r! |
Ω |
0.34132123633923 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
462c3 |
Quadratic twists by: 13 |