Atkin-Lehner |
2+ 3- 7- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
94248j |
Isogeny class |
Conductor |
94248 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
35116316218368 = 210 · 39 · 7 · 114 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 11+ -6 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-617259,-186658922] |
[a1,a2,a3,a4,a6] |
j |
34841634449971108/47041533 |
j-invariant |
L |
1.3626134628155 |
L(r)(E,1)/r! |
Ω |
0.17032669995387 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31416r4 |
Quadratic twists by: -3 |