Atkin-Lehner |
2- 3+ 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
62400fd |
Isogeny class |
Conductor |
62400 |
Conductor |
∏ cp |
8 |
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 |
[99191:31152968:1] |
Generators of the group modulo torsion |
j |
19129597231400697604/26325 |
j-invariant |
L |
6.4770984211597 |
L(r)(E,1)/r! |
Ω |
0.30035608254466 |
Real period |
R |
10.782365993917 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000026 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62400de4 15600p3 12480cp3 |
Quadratic twists by: -4 8 5 |