Atkin-Lehner |
2+ 3+ 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
9912b |
Isogeny class |
Conductor |
9912 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
781715192832 = 210 · 32 · 7 · 594 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ 0 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2504,23580] |
[a1,a2,a3,a4,a6] |
j |
1696290218788/763393743 |
j-invariant |
L |
0.80464168801396 |
L(r)(E,1)/r! |
Ω |
0.80464168801396 |
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 |
19824k3 79296q4 29736n4 69384k4 |
Quadratic twists by: -4 8 -3 -7 |