Atkin-Lehner |
2- 3+ 11- 67- |
Signs for the Atkin-Lehner involutions |
Class |
97284f |
Isogeny class |
Conductor |
97284 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
504000 |
Modular degree for the optimal curve |
Δ |
-1794251946947328 = -1 · 28 · 310 · 116 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 0 0 11- 4 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-166173,26207865] |
[a1,a2,a3,a4,a6] |
j |
-1118952448000/3956283 |
j-invariant |
L |
1.8896084667833 |
L(r)(E,1)/r! |
Ω |
0.47240214910285 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
804b1 |
Quadratic twists by: -11 |