Atkin-Lehner |
2+ 3- 5+ 17+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
109650u |
Isogeny class |
Conductor |
109650 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
219121407562500 = 22 · 38 · 56 · 172 · 432 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 0 -6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-986851,-377414902] |
[a1,a2,a3,a4,a6] |
j |
6802331772296095777/14023770084 |
j-invariant |
L |
2.4235764822351 |
L(r)(E,1)/r! |
Ω |
0.15147353635737 |
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 |
4386n2 |
Quadratic twists by: 5 |