Atkin-Lehner |
2+ 3+ 31- 61- |
Signs for the Atkin-Lehner involutions |
Class |
34038a |
Isogeny class |
Conductor |
34038 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1544780592 = -1 · 24 · 33 · 312 · 612 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -4 -6 2 -8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,138,-1820] |
[a1,a2,a3,a4,a6] |
Generators |
[24:-134:1] |
Generators of the group modulo torsion |
j |
10720765125/57214096 |
j-invariant |
L |
2.2281179806331 |
L(r)(E,1)/r! |
Ω |
0.75619360265965 |
Real period |
R |
0.73662286112868 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34038f2 |
Quadratic twists by: -3 |