Atkin-Lehner |
2- 7+ 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
116242p |
Isogeny class |
Conductor |
116242 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1459200 |
Modular degree for the optimal curve |
Δ |
-40730931964456496 = -1 · 24 · 73 · 199 · 23 |
Discriminant |
Eigenvalues |
2- -1 -3 7+ 4 5 -7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,45298,8991867] |
[a1,a2,a3,a4,a6] |
j |
31855013/126224 |
j-invariant |
L |
2.0678619162602 |
L(r)(E,1)/r! |
Ω |
0.25848269508508 |
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 |
116242a1 |
Quadratic twists by: -19 |