Atkin-Lehner |
2+ 3+ 13- 61- |
Signs for the Atkin-Lehner involutions |
Class |
38064f |
Isogeny class |
Conductor |
38064 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
213767424 = 28 · 34 · 132 · 61 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -2 2 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-364,2704] |
[a1,a2,a3,a4,a6] |
Generators |
[0:52:1] |
Generators of the group modulo torsion |
j |
20892021712/835029 |
j-invariant |
L |
3.343055943704 |
L(r)(E,1)/r! |
Ω |
1.7603595589065 |
Real period |
R |
0.9495378165184 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19032q2 114192r2 |
Quadratic twists by: -4 -3 |