Atkin-Lehner |
2+ 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
15600m |
Isogeny class |
Conductor |
15600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4096 |
Modular degree for the optimal curve |
Δ |
263250000 = 24 · 34 · 56 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-183,-612] |
[a1,a2,a3,a4,a6] |
j |
2725888/1053 |
j-invariant |
L |
2.6813118071409 |
L(r)(E,1)/r! |
Ω |
1.3406559035704 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7800a1 62400en1 46800k1 624c1 |
Quadratic twists by: -4 8 -3 5 |