Atkin-Lehner |
3+ 5+ 17- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
113475b |
Isogeny class |
Conductor |
113475 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-4058803941796875 = -1 · 3 · 58 · 173 · 893 |
Discriminant |
Eigenvalues |
0 3+ 5+ 1 3 4 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-69633,-7684957] |
[a1,a2,a3,a4,a6] |
j |
-2389765251137536/259763452275 |
j-invariant |
L |
1.7526322644871 |
L(r)(E,1)/r! |
Ω |
0.14605275379941 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22695g2 |
Quadratic twists by: 5 |