Atkin-Lehner |
2- 3- 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
78078db |
Isogeny class |
Conductor |
78078 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
86400 |
Modular degree for the optimal curve |
Δ |
5356697346 = 2 · 35 · 72 · 113 · 132 |
Discriminant |
Eigenvalues |
2- 3- -1 7- 11+ 13+ 5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-6796,-216178] |
[a1,a2,a3,a4,a6] |
j |
205400318231641/31696434 |
j-invariant |
L |
5.2582339177282 |
L(r)(E,1)/r! |
Ω |
0.52582339003853 |
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 |
78078bg1 |
Quadratic twists by: 13 |