Atkin-Lehner |
2+ 5- 13- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
65650k |
Isogeny class |
Conductor |
65650 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
45696 |
Modular degree for the optimal curve |
Δ |
11205798500 = 22 · 53 · 133 · 1012 |
Discriminant |
Eigenvalues |
2+ -2 5- 0 0 13- -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-566,-972] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:71:1] |
Generators of the group modulo torsion |
j |
160014568589/89646388 |
j-invariant |
L |
2.9927513548635 |
L(r)(E,1)/r! |
Ω |
1.0521655494089 |
Real period |
R |
0.47406217846569 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000359 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65650v1 |
Quadratic twists by: 5 |