Atkin-Lehner |
2- 5+ 11+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
71390g |
Isogeny class |
Conductor |
71390 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
236160 |
Modular degree for the optimal curve |
Δ |
-1399600378880 = -1 · 210 · 5 · 113 · 593 |
Discriminant |
Eigenvalues |
2- 3 5+ 2 11+ 2 -5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,2067,-44459] |
[a1,a2,a3,a4,a6] |
j |
734114916261/1051540480 |
j-invariant |
L |
9.0648514780915 |
L(r)(E,1)/r! |
Ω |
0.45324257344828 |
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 |
71390a1 |
Quadratic twists by: -11 |