Atkin-Lehner |
2+ 3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
62400de |
Isogeny class |
Conductor |
62400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
26956800000000 = 216 · 34 · 58 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 0 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-56160033,-162009071937] |
[a1,a2,a3,a4,a6] |
Generators |
[-29678874:-2889:6859] |
Generators of the group modulo torsion |
j |
19129597231400697604/26325 |
j-invariant |
L |
6.258691048341 |
L(r)(E,1)/r! |
Ω |
0.055149644268153 |
Real period |
R |
7.0928506559529 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999999834 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62400fd4 7800n3 12480f3 |
Quadratic twists by: -4 8 5 |