Atkin-Lehner |
2+ 3+ 23- 59- |
Signs for the Atkin-Lehner involutions |
Class |
65136b |
Isogeny class |
Conductor |
65136 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
44544 |
Modular degree for the optimal curve |
Δ |
215730432 = 28 · 33 · 232 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ -4 0 0 -6 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-500,4416] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:92:1] |
Generators of the group modulo torsion |
j |
54108072016/842697 |
j-invariant |
L |
3.2040541380095 |
L(r)(E,1)/r! |
Ω |
1.7782731612096 |
Real period |
R |
1.801778381428 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999589 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32568g1 |
Quadratic twists by: -4 |