Atkin-Lehner |
2+ 3- 5+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
58560bk |
Isogeny class |
Conductor |
58560 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
14054400 = 210 · 32 · 52 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 -6 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-61,-61] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:12:1] |
Generators of the group modulo torsion |
j |
24918016/13725 |
j-invariant |
L |
5.6087952768115 |
L(r)(E,1)/r! |
Ω |
1.8251073002858 |
Real period |
R |
1.5365658983305 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999736 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58560cm1 7320m1 |
Quadratic twists by: -4 8 |