Atkin-Lehner |
2+ 3- 5+ 7+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
76650bb |
Isogeny class |
Conductor |
76650 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1854720 |
Modular degree for the optimal curve |
Δ |
-187573074709708800 = -1 · 223 · 36 · 52 · 75 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 5 0 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1438531,664296638] |
[a1,a2,a3,a4,a6] |
j |
-13168640608031154224785/7502922988388352 |
j-invariant |
L |
1.8927327406987 |
L(r)(E,1)/r! |
Ω |
0.31545546107695 |
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 |
76650cn1 |
Quadratic twists by: 5 |