Atkin-Lehner |
2- 19- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
62092a |
Isogeny class |
Conductor |
62092 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-9839740102912 = -1 · 28 · 197 · 43 |
Discriminant |
Eigenvalues |
2- 0 2 3 0 0 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,361,-150898] |
[a1,a2,a3,a4,a6] |
Generators |
[266:4332:1] |
Generators of the group modulo torsion |
j |
432/817 |
j-invariant |
L |
8.1910659653454 |
L(r)(E,1)/r! |
Ω |
0.33718967103354 |
Real period |
R |
2.0243467967699 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997775 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3268a1 |
Quadratic twists by: -19 |