Atkin-Lehner |
2+ 3- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
113568ba |
Isogeny class |
Conductor |
113568 |
Conductor |
∏ cp |
6 |
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 |
3.4423966367517 |
L(r)(E,1)/r! |
Ω |
0.14343324397402 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113568q1 113568cu1 |
Quadratic twists by: -4 13 |