Atkin-Lehner |
2+ 3- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
9114q |
Isogeny class |
Conductor |
9114 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
14336 |
Modular degree for the optimal curve |
Δ |
405311628708 = 22 · 34 · 79 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 0 6 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2280,-28766] |
[a1,a2,a3,a4,a6] |
j |
32461759/10044 |
j-invariant |
L |
2.8305755003521 |
L(r)(E,1)/r! |
Ω |
0.70764387508802 |
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 |
72912bi1 27342br1 9114c1 |
Quadratic twists by: -4 -3 -7 |