Atkin-Lehner |
2+ 3- 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
23088i |
Isogeny class |
Conductor |
23088 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
99533508362496 = 28 · 314 · 133 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 2 -2 0 13+ 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-30012,-1952820] |
[a1,a2,a3,a4,a6] |
Generators |
[-102:240:1] |
Generators of the group modulo torsion |
j |
11678391514890448/388802767041 |
j-invariant |
L |
7.1374419644462 |
L(r)(E,1)/r! |
Ω |
0.36346368326415 |
Real period |
R |
2.8053272260723 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11544b1 92352bx1 69264n1 |
Quadratic twists by: -4 8 -3 |