Atkin-Lehner |
2- 3+ 7- 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
119658cf |
Isogeny class |
Conductor |
119658 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
1658880 |
Modular degree for the optimal curve |
Δ |
-56047493156143104 = -1 · 215 · 36 · 78 · 11 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- 11+ 4 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-447959,-116147347] |
[a1,a2,a3,a4,a6] |
j |
-84498759269884513/476395831296 |
j-invariant |
L |
5.5343268583144 |
L(r)(E,1)/r! |
Ω |
0.092238790219244 |
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 |
17094z1 |
Quadratic twists by: -7 |