Atkin-Lehner |
2+ 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
111328b |
Isogeny class |
Conductor |
111328 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
2806272 |
Modular degree for the optimal curve |
Δ |
8451218189152256 = 212 · 78 · 713 |
Discriminant |
Eigenvalues |
2+ 2 3 7+ 4 -4 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4618609,3821990817] |
[a1,a2,a3,a4,a6] |
j |
461437760133952/357911 |
j-invariant |
L |
6.1889157259143 |
L(r)(E,1)/r! |
Ω |
0.34382865629512 |
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 |
111328a1 111328t1 |
Quadratic twists by: -4 -7 |