Atkin-Lehner |
2- 3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
114240iz |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
8847360 |
Modular degree for the optimal curve |
Δ |
2.2271729569394E+22 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 2 6 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7131941,-1481490021] |
[a1,a2,a3,a4,a6] |
j |
39178431186517736144896/21749735907611207685 |
j-invariant |
L |
4.7534245338665 |
L(r)(E,1)/r! |
Ω |
0.099029682820859 |
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 |
114240e1 28560cy1 |
Quadratic twists by: -4 8 |