Atkin-Lehner |
2- 3- 7+ 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
51282bg |
Isogeny class |
Conductor |
51282 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
1966080 |
Modular degree for the optimal curve |
Δ |
-3.809639748283E+20 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 11- -6 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1023710,-1019939475] |
[a1,a2,a3,a4,a6] |
j |
-162752108275155561625/522584327610842112 |
j-invariant |
L |
1.3833034322253 |
L(r)(E,1)/r! |
Ω |
0.069165171617899 |
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 |
17094a1 |
Quadratic twists by: -3 |