Atkin-Lehner |
5- 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
65065v |
Isogeny class |
Conductor |
65065 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
45696 |
Modular degree for the optimal curve |
Δ |
-290124835 = -1 · 5 · 74 · 11 · 133 |
Discriminant |
Eigenvalues |
2 2 5- 7- 11+ 13- 7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,100,691] |
[a1,a2,a3,a4,a6] |
j |
49836032/132055 |
j-invariant |
L |
9.7042228281217 |
L(r)(E,1)/r! |
Ω |
1.2130278540213 |
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 |
65065g1 |
Quadratic twists by: 13 |