Atkin-Lehner |
2- 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
113568ct |
Isogeny class |
Conductor |
113568 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
673920 |
Modular degree for the optimal curve |
Δ |
-34811054010690048 = -1 · 29 · 35 · 73 · 138 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 0 13+ 7 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,8056,-8969700] |
[a1,a2,a3,a4,a6] |
j |
138424/83349 |
j-invariant |
L |
2.5753303146089 |
L(r)(E,1)/r! |
Ω |
0.17168871710158 |
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 |
113568d1 113568z1 |
Quadratic twists by: -4 13 |