Atkin-Lehner |
2- 5- 7+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
20650ba |
Isogeny class |
Conductor |
20650 |
Conductor |
∏ cp |
156 |
Product of Tamagawa factors cp |
deg |
299520 |
Modular degree for the optimal curve |
Δ |
-26745219200000000 = -1 · 213 · 58 · 74 · 592 |
Discriminant |
Eigenvalues |
2- 1 5- 7+ 3 -2 1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1540763,-736295983] |
[a1,a2,a3,a4,a6] |
Generators |
[4502:286849:1] |
Generators of the group modulo torsion |
j |
-1035550343903010385/68467761152 |
j-invariant |
L |
8.7711285158784 |
L(r)(E,1)/r! |
Ω |
0.067753833816381 |
Real period |
R |
0.82984503794232 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20650f1 |
Quadratic twists by: 5 |