Atkin-Lehner |
3+ 7- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
108927a |
Isogeny class |
Conductor |
108927 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
17853032607001137 = 39 · 710 · 132 · 19 |
Discriminant |
Eigenvalues |
1 3+ -4 7- -6 13+ 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-66894,-1721161] |
[a1,a2,a3,a4,a6] |
j |
14295828483/7709611 |
j-invariant |
L |
1.2646786461581 |
L(r)(E,1)/r! |
Ω |
0.3161697783466 |
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 |
108927b1 15561a1 |
Quadratic twists by: -3 -7 |