Atkin-Lehner |
2- 3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
92400gy |
Isogeny class |
Conductor |
92400 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
995328 |
Modular degree for the optimal curve |
Δ |
139102064640000000 = 218 · 36 · 57 · 7 · 113 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11+ 4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-359408,-81088812] |
[a1,a2,a3,a4,a6] |
j |
80224711835689/2173469760 |
j-invariant |
L |
4.6874013799003 |
L(r)(E,1)/r! |
Ω |
0.19530839419543 |
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 |
11550bo1 18480bl1 |
Quadratic twists by: -4 5 |