Atkin-Lehner |
2+ 3- 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
34632f |
Isogeny class |
Conductor |
34632 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
518130183168 = 210 · 37 · 132 · 372 |
Discriminant |
Eigenvalues |
2+ 3- 2 2 -4 13+ 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2019,4462] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:148:1] |
Generators of the group modulo torsion |
j |
1219284868/694083 |
j-invariant |
L |
6.8044685634556 |
L(r)(E,1)/r! |
Ω |
0.79648562173649 |
Real period |
R |
1.0678894222566 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69264l2 11544i2 |
Quadratic twists by: -4 -3 |