Atkin-Lehner |
2+ 3+ 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
124608u |
Isogeny class |
Conductor |
124608 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-1883535163323973632 = -1 · 217 · 34 · 114 · 594 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -4 11- -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-547777,-169259327] |
[a1,a2,a3,a4,a6] |
Generators |
[120132:4708495:64] |
Generators of the group modulo torsion |
j |
-138683871922959074/14370232874481 |
j-invariant |
L |
3.9509698289929 |
L(r)(E,1)/r! |
Ω |
0.087232824177051 |
Real period |
R |
5.6615297592548 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999970881 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
124608cy3 15576j4 |
Quadratic twists by: -4 8 |