Atkin-Lehner |
2- 3+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
4368t |
Isogeny class |
Conductor |
4368 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-30335368347648 = -1 · 214 · 33 · 74 · 134 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 4 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,6456,-176400] |
[a1,a2,a3,a4,a6] |
j |
7264187703863/7406095788 |
j-invariant |
L |
1.4357027023335 |
L(r)(E,1)/r! |
Ω |
0.35892567558337 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
546c4 17472cw4 13104ck4 109200fe3 |
Quadratic twists by: -4 8 -3 5 |