Atkin-Lehner |
5+ 13+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
51545a |
Isogeny class |
Conductor |
51545 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
69888 |
Modular degree for the optimal curve |
Δ |
1167436158785 = 5 · 137 · 612 |
Discriminant |
Eigenvalues |
1 0 5+ 0 6 13+ -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3665,68680] |
[a1,a2,a3,a4,a6] |
Generators |
[-28932:625747:1728] |
Generators of the group modulo torsion |
j |
1128111921/241865 |
j-invariant |
L |
5.9039180329079 |
L(r)(E,1)/r! |
Ω |
0.81893752887312 |
Real period |
R |
7.2092410285263 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999253 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3965b1 |
Quadratic twists by: 13 |