Atkin-Lehner |
2- 3- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
92400fz |
Isogeny class |
Conductor |
92400 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-53887680000000 = -1 · 212 · 37 · 57 · 7 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11+ 2 -1 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-50533,-4403437] |
[a1,a2,a3,a4,a6] |
Generators |
[518:10425:1] |
Generators of the group modulo torsion |
j |
-222985990144/841995 |
j-invariant |
L |
8.7424732704942 |
L(r)(E,1)/r! |
Ω |
0.15917575297838 |
Real period |
R |
3.9230998753675 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999966826 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5775j1 18480bs1 |
Quadratic twists by: -4 5 |