Atkin-Lehner |
2+ 5+ 13- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
65650d |
Isogeny class |
Conductor |
65650 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
599040 |
Modular degree for the optimal curve |
Δ |
4734449866250000 = 24 · 57 · 135 · 1012 |
Discriminant |
Eigenvalues |
2+ 0 5+ 0 0 13- -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-963542,364270116] |
[a1,a2,a3,a4,a6] |
Generators |
[-592:27258:1] [-345:25776:1] |
Generators of the group modulo torsion |
j |
6331635267505550001/303004791440 |
j-invariant |
L |
7.5853248082468 |
L(r)(E,1)/r! |
Ω |
0.40877378953029 |
Real period |
R |
1.8556289572694 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999994 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13130h1 |
Quadratic twists by: 5 |