Atkin-Lehner |
2- 3+ 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
15600bn |
Isogeny class |
Conductor |
15600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4032 |
Modular degree for the optimal curve |
Δ |
-7987200 = -1 · 213 · 3 · 52 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 -4 13- -4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,32,-128] |
[a1,a2,a3,a4,a6] |
Generators |
[8:24:1] |
Generators of the group modulo torsion |
j |
34295/78 |
j-invariant |
L |
4.3353733970871 |
L(r)(E,1)/r! |
Ω |
1.2105221803164 |
Real period |
R |
0.89535191250149 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1950z1 62400gs1 46800ei1 15600cq1 |
Quadratic twists by: -4 8 -3 5 |