Atkin-Lehner |
2+ 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
113568q |
Isogeny class |
Conductor |
113568 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
4822272 |
Modular degree for the optimal curve |
Δ |
1.5694718416515E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- -1 13+ -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4350792,-2925686232] |
[a1,a2,a3,a4,a6] |
j |
129040278536/22235661 |
j-invariant |
L |
0.74034715243227 |
L(r)(E,1)/r! |
Ω |
0.10576394339781 |
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 |
113568ba1 113568bu1 |
Quadratic twists by: -4 13 |