Atkin-Lehner |
2+ 3+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
4368d |
Isogeny class |
Conductor |
4368 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
12897690624 = 210 · 32 · 72 · 134 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ 4 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9464,357504] |
[a1,a2,a3,a4,a6] |
j |
91557481657828/12595401 |
j-invariant |
L |
1.217114839787 |
L(r)(E,1)/r! |
Ω |
1.217114839787 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
8 |
Number of elements in the torsion subgroup |
Twists |
2184m3 17472cm3 13104v3 109200bx4 |
Quadratic twists by: -4 8 -3 5 |