Atkin-Lehner |
2- 3- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
71136bk |
Isogeny class |
Conductor |
71136 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
88704 |
Modular degree for the optimal curve |
Δ |
-296029334016 = -1 · 29 · 36 · 133 · 192 |
Discriminant |
Eigenvalues |
2- 3- 1 -5 0 13- 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,693,-25218] |
[a1,a2,a3,a4,a6] |
Generators |
[61:-494:1] [37:226:1] |
Generators of the group modulo torsion |
j |
98611128/793117 |
j-invariant |
L |
10.185244280387 |
L(r)(E,1)/r! |
Ω |
0.48230305563881 |
Real period |
R |
1.7598278650219 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71136q1 7904c1 |
Quadratic twists by: -4 -3 |