Atkin-Lehner |
2- 3- 7- 29+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
113274bp |
Isogeny class |
Conductor |
113274 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
87552 |
Modular degree for the optimal curve |
Δ |
-1798338024 = -1 · 23 · 36 · 73 · 29 · 31 |
Discriminant |
Eigenvalues |
2- 3- 3 7- -1 2 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-641,-6407] |
[a1,a2,a3,a4,a6] |
j |
-39896512713/2466856 |
j-invariant |
L |
8.5099865108272 |
L(r)(E,1)/r! |
Ω |
0.47277707110814 |
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 |
12586b1 |
Quadratic twists by: -3 |