Atkin-Lehner |
2+ 3- 7- 19+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
112518o |
Isogeny class |
Conductor |
112518 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
5091840 |
Modular degree for the optimal curve |
Δ |
1.2594551198303E+19 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- -6 -3 5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2481381,-1494145877] |
[a1,a2,a3,a4,a6] |
j |
2317803635684079513937/17276476266533106 |
j-invariant |
L |
1.2034317855743 |
L(r)(E,1)/r! |
Ω |
0.12034313900108 |
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 |
37506s1 |
Quadratic twists by: -3 |