Atkin-Lehner |
2+ 3- 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
34632c |
Isogeny class |
Conductor |
34632 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-1595970496703232 = -1 · 28 · 39 · 132 · 374 |
Discriminant |
Eigenvalues |
2+ 3- 0 0 2 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-52095,4963826] |
[a1,a2,a3,a4,a6] |
Generators |
[67:1332:1] |
Generators of the group modulo torsion |
j |
-83780769634000/8551796643 |
j-invariant |
L |
5.5337033863001 |
L(r)(E,1)/r! |
Ω |
0.46311372665149 |
Real period |
R |
0.74680675985238 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69264g2 11544g2 |
Quadratic twists by: -4 -3 |