Atkin-Lehner |
2- 3+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
35568ba |
Isogeny class |
Conductor |
35568 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-162196924421376 = -1 · 28 · 39 · 13 · 195 |
Discriminant |
Eigenvalues |
2- 3+ 1 1 6 13+ 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10287,732618] |
[a1,a2,a3,a4,a6] |
Generators |
[174:2052:1] |
Generators of the group modulo torsion |
j |
-23892339312/32189287 |
j-invariant |
L |
7.0840421638355 |
L(r)(E,1)/r! |
Ω |
0.51818279929685 |
Real period |
R |
1.3670932677519 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8892a1 35568bb1 |
Quadratic twists by: -4 -3 |