Atkin-Lehner |
2- 3+ 5- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
58560ct |
Isogeny class |
Conductor |
58560 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-359792640 = -1 · 217 · 32 · 5 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 4 -5 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-225,1665] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:48:1] |
Generators of the group modulo torsion |
j |
-9653618/2745 |
j-invariant |
L |
6.2871814844798 |
L(r)(E,1)/r! |
Ω |
1.6131163845815 |
Real period |
R |
0.48719217849695 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998294 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58560bp1 14640l1 |
Quadratic twists by: -4 8 |