Atkin-Lehner |
2- 3- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
51714ba |
Isogeny class |
Conductor |
51714 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
deg |
23482368 |
Modular degree for the optimal curve |
Δ |
-1.3116084425374E+27 |
Discriminant |
Eigenvalues |
2- 3- -2 2 -4 13- 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,152375269,-1584967066549] |
[a1,a2,a3,a4,a6] |
j |
50611530622079699/169662750916608 |
j-invariant |
L |
1.3791900955049 |
L(r)(E,1)/r! |
Ω |
0.024628394573856 |
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 |
17238g1 51714l1 |
Quadratic twists by: -3 13 |