Atkin-Lehner |
2+ 3+ 5+ 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
83850c |
Isogeny class |
Conductor |
83850 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
51254696025000000 = 26 · 38 · 58 · 132 · 432 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 0 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-189750,29812500] |
[a1,a2,a3,a4,a6] |
j |
48356250201848161/3280300545600 |
j-invariant |
L |
1.3960039542584 |
L(r)(E,1)/r! |
Ω |
0.34900097306136 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
16770bf2 |
Quadratic twists by: 5 |