Atkin-Lehner |
2+ 5+ 7- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
121030d |
Isogeny class |
Conductor |
121030 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
829440 |
Modular degree for the optimal curve |
Δ |
880055179494400 = 210 · 52 · 77 · 133 · 19 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 0 13+ -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-295675,61940325] |
[a1,a2,a3,a4,a6] |
j |
24298536380201721/7480345600 |
j-invariant |
L |
0.97713632925609 |
L(r)(E,1)/r! |
Ω |
0.48856759191092 |
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 |
17290g1 |
Quadratic twists by: -7 |