Atkin-Lehner |
2+ 5- 23- 59- |
Signs for the Atkin-Lehner involutions |
Class |
108560f |
Isogeny class |
Conductor |
108560 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
97536 |
Modular degree for the optimal curve |
Δ |
-528339808000 = -1 · 28 · 53 · 234 · 59 |
Discriminant |
Eigenvalues |
2+ 0 5- 4 0 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1753,20614] |
[a1,a2,a3,a4,a6] |
j |
2327177423664/2063827375 |
j-invariant |
L |
3.6199915673608 |
L(r)(E,1)/r! |
Ω |
0.60333196639986 |
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 |
54280e1 |
Quadratic twists by: -4 |