Atkin-Lehner |
2- 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
18720bm |
Isogeny class |
Conductor |
18720 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
15966849600 = 26 · 310 · 52 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 -4 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-777,5704] |
[a1,a2,a3,a4,a6] |
j |
1111934656/342225 |
j-invariant |
L |
2.2965224334598 |
L(r)(E,1)/r! |
Ω |
1.1482612167299 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
18720bn1 37440ep2 6240k1 93600bx1 |
Quadratic twists by: -4 8 -3 5 |