Atkin-Lehner |
3- 5+ 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
106575bq |
Isogeny class |
Conductor |
106575 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
71568 |
Modular degree for the optimal curve |
Δ |
-12538442175 = -1 · 3 · 52 · 78 · 29 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ -1 -5 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,464,-3727] |
[a1,a2,a3,a4,a6] |
j |
76895/87 |
j-invariant |
L |
2.045151159839 |
L(r)(E,1)/r! |
Ω |
0.68171711788211 |
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 |
106575bc1 106575f1 |
Quadratic twists by: 5 -7 |