Atkin-Lehner |
3- 5+ 23- 67- |
Signs for the Atkin-Lehner involutions |
Class |
115575h |
Isogeny class |
Conductor |
115575 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
108627136640625 = 3 · 57 · 23 · 674 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 -4 6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-48338,4055667] |
[a1,a2,a3,a4,a6] |
j |
799411294231129/6952136745 |
j-invariant |
L |
1.1942214481362 |
L(r)(E,1)/r! |
Ω |
0.59711081722077 |
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 |
23115a4 |
Quadratic twists by: 5 |