Atkin-Lehner |
2- 3- 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
111600do |
Isogeny class |
Conductor |
111600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1244160 |
Modular degree for the optimal curve |
Δ |
-2188828907727750000 = -1 · 24 · 324 · 56 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 0 -2 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-687225,-230542625] |
[a1,a2,a3,a4,a6] |
Generators |
[538111644861168287535914:22658303632562585648462871:251014975718432449159] |
Generators of the group modulo torsion |
j |
-196948657599232/12010035159 |
j-invariant |
L |
6.2936396741723 |
L(r)(E,1)/r! |
Ω |
0.082615933890815 |
Real period |
R |
38.089744785128 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27900i1 37200cq1 4464v1 |
Quadratic twists by: -4 -3 5 |