Atkin-Lehner |
2- 5+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
28730x |
Isogeny class |
Conductor |
28730 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
32822301200 = 24 · 52 · 136 · 17 |
Discriminant |
Eigenvalues |
2- -2 5+ 2 2 13+ 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1271,15001] |
[a1,a2,a3,a4,a6] |
Generators |
[40:-189:1] |
Generators of the group modulo torsion |
j |
47045881/6800 |
j-invariant |
L |
6.2840601008991 |
L(r)(E,1)/r! |
Ω |
1.1207520824921 |
Real period |
R |
0.70087535404418 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
170a1 |
Quadratic twists by: 13 |