Atkin-Lehner |
2- 3+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
66240dr |
Isogeny class |
Conductor |
66240 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
22852800 = 26 · 33 · 52 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 -4 2 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-123,472] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:30:1] |
Generators of the group modulo torsion |
j |
119095488/13225 |
j-invariant |
L |
5.2730201178101 |
L(r)(E,1)/r! |
Ω |
2.0720412968989 |
Real period |
R |
1.2724215792077 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999989431 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66240di1 33120e2 66240dx1 |
Quadratic twists by: -4 8 -3 |