Atkin-Lehner |
2- 5- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
28730bd |
Isogeny class |
Conductor |
28730 |
Conductor |
∏ cp |
45 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
3321188000 = 25 · 53 · 132 · 173 |
Discriminant |
Eigenvalues |
2- -2 5- -5 -3 13+ 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-7680,258400] |
[a1,a2,a3,a4,a6] |
Generators |
[70:-290:1] [-60:740:1] |
Generators of the group modulo torsion |
j |
296431397798809/19652000 |
j-invariant |
L |
8.1548065424703 |
L(r)(E,1)/r! |
Ω |
1.3416213698694 |
Real period |
R |
0.13507381980928 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28730h1 |
Quadratic twists by: 13 |