Atkin-Lehner |
2+ 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
91728bw |
Isogeny class |
Conductor |
91728 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
401408 |
Modular degree for the optimal curve |
Δ |
-881121331673856 = -1 · 28 · 38 · 79 · 13 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- -2 13- -2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-78204,-8537956] |
[a1,a2,a3,a4,a6] |
j |
-7023616/117 |
j-invariant |
L |
0.57041730123224 |
L(r)(E,1)/r! |
Ω |
0.14260434304229 |
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 |
45864by1 30576m1 91728bc1 |
Quadratic twists by: -4 -3 -7 |