Atkin-Lehner |
2+ 3+ 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
3894a |
Isogeny class |
Conductor |
3894 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-58712049792 = -1 · 27 · 32 · 114 · 592 |
Discriminant |
Eigenvalues |
2+ 3+ 4 -4 11+ -4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,237,-11475] |
[a1,a2,a3,a4,a6] |
j |
1462521876551/58712049792 |
j-invariant |
L |
1.0683946932429 |
L(r)(E,1)/r! |
Ω |
0.53419734662143 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31152bf2 124608bt2 11682u2 97350co2 |
Quadratic twists by: -4 8 -3 5 |