Atkin-Lehner |
2- 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
113568cu |
Isogeny class |
Conductor |
113568 |
Conductor |
∏ cp |
126 |
Product of Tamagawa factors cp |
deg |
370944 |
Modular degree for the optimal curve |
Δ |
325157229476352 = 29 · 33 · 77 · 134 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -1 13+ -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-25744,1323752] |
[a1,a2,a3,a4,a6] |
Generators |
[134:-546:1] [-178:546:1] |
Generators of the group modulo torsion |
j |
129040278536/22235661 |
j-invariant |
L |
12.947140525814 |
L(r)(E,1)/r! |
Ω |
0.51715591575448 |
Real period |
R |
0.19869265805706 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000683 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113568bu1 113568ba1 |
Quadratic twists by: -4 13 |