Atkin-Lehner |
2+ 3+ 7- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
23562f |
Isogeny class |
Conductor |
23562 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
1128466822089222 = 2 · 33 · 74 · 116 · 173 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 11- -4 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-161292,24920514] |
[a1,a2,a3,a4,a6] |
j |
17186994736845046875/41795067484786 |
j-invariant |
L |
1.9605269596565 |
L(r)(E,1)/r! |
Ω |
0.49013173991412 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
23562t4 |
Quadratic twists by: -3 |