Atkin-Lehner |
2- 3- 5+ 19+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
114570bh |
Isogeny class |
Conductor |
114570 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
-233543124910080 = -1 · 224 · 37 · 5 · 19 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -4 -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-8708,801191] |
[a1,a2,a3,a4,a6] |
Generators |
[-99:877:1] [-27:1021:1] |
Generators of the group modulo torsion |
j |
-100162392144121/320360939520 |
j-invariant |
L |
16.034424336154 |
L(r)(E,1)/r! |
Ω |
0.48944269211258 |
Real period |
R |
1.3650239850831 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999992379 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38190p1 |
Quadratic twists by: -3 |