Atkin-Lehner |
2- 3+ 5+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
123420i |
Isogeny class |
Conductor |
123420 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
4612608 |
Modular degree for the optimal curve |
Δ |
-2.1677444835821E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 11- 6 17- 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3240541,2257527241] |
[a1,a2,a3,a4,a6] |
j |
-68579602161664/395026875 |
j-invariant |
L |
2.5927571294106 |
L(r)(E,1)/r! |
Ω |
0.21606310797797 |
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 |
123420a1 |
Quadratic twists by: -11 |