Atkin-Lehner |
2+ 3- 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
124608bq |
Isogeny class |
Conductor |
124608 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
18948390912 = 215 · 34 · 112 · 59 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 11- 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-304609,-64810273] |
[a1,a2,a3,a4,a6] |
Generators |
[5386:47817:8] |
Generators of the group modulo torsion |
j |
95390120097279944/578259 |
j-invariant |
L |
4.8680564417436 |
L(r)(E,1)/r! |
Ω |
0.20321873952525 |
Real period |
R |
5.9886905510926 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999997143508 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124608j4 62304t4 |
Quadratic twists by: -4 8 |