Atkin-Lehner |
2- 3+ 5- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
56880v |
Isogeny class |
Conductor |
56880 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-15723725184000000 = -1 · 213 · 39 · 56 · 792 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 -4 4 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-84267,-11182374] |
[a1,a2,a3,a4,a6] |
Generators |
[477:7560:1] |
Generators of the group modulo torsion |
j |
-820814595147/195031250 |
j-invariant |
L |
6.408516540817 |
L(r)(E,1)/r! |
Ω |
0.13836560288339 |
Real period |
R |
1.9298258885728 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000063 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7110q2 56880q2 |
Quadratic twists by: -4 -3 |