Atkin-Lehner |
2- 3- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
51714bb |
Isogeny class |
Conductor |
51714 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
2875392 |
Modular degree for the optimal curve |
Δ |
-2.3254677190731E+20 |
Discriminant |
Eigenvalues |
2- 3- -4 0 -2 13- 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1498217,-1017722455] |
[a1,a2,a3,a4,a6] |
j |
-48109395853/30081024 |
j-invariant |
L |
2.1231951808068 |
L(r)(E,1)/r! |
Ω |
0.06634984939828 |
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 |
17238h1 51714m1 |
Quadratic twists by: -3 13 |