Atkin-Lehner |
2- 3- 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
18720br |
Isogeny class |
Conductor |
18720 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
8192 |
Modular degree for the optimal curve |
Δ |
1774094400 = 26 · 38 · 52 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -4 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-417,2576] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:54:1] |
Generators of the group modulo torsion |
j |
171879616/38025 |
j-invariant |
L |
5.1613267661912 |
L(r)(E,1)/r! |
Ω |
1.4043028461036 |
Real period |
R |
1.8376829401549 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
18720bp1 37440ds2 6240c1 93600w1 |
Quadratic twists by: -4 8 -3 5 |