Atkin-Lehner |
2- 3+ 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
25584o |
Isogeny class |
Conductor |
25584 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
4889178537984 = 222 · 37 · 13 · 41 |
Discriminant |
Eigenvalues |
2- 3+ -3 0 -1 13+ -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12832,-545024] |
[a1,a2,a3,a4,a6] |
j |
57053285789473/1193647104 |
j-invariant |
L |
0.8982674816081 |
L(r)(E,1)/r! |
Ω |
0.44913374080394 |
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 |
3198f1 102336co1 76752ca1 |
Quadratic twists by: -4 8 -3 |