Atkin-Lehner |
2- 5+ 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
71390j |
Isogeny class |
Conductor |
71390 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
38592 |
Modular degree for the optimal curve |
Δ |
-134784320 = -1 · 26 · 5 · 112 · 592 |
Discriminant |
Eigenvalues |
2- 1 5+ 3 11- 6 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-811,-8975] |
[a1,a2,a3,a4,a6] |
j |
-487567078009/1113920 |
j-invariant |
L |
5.3670217554557 |
L(r)(E,1)/r! |
Ω |
0.44725181295102 |
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 |
71390b1 |
Quadratic twists by: -11 |