Atkin-Lehner |
2- 3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
92400gk |
Isogeny class |
Conductor |
92400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
5677056000000000 = 222 · 32 · 59 · 7 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11- 0 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-67408,5655188] |
[a1,a2,a3,a4,a6] |
j |
529278808969/88704000 |
j-invariant |
L |
3.2635385630454 |
L(r)(E,1)/r! |
Ω |
0.40794231688869 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11550bp1 18480bz1 |
Quadratic twists by: -4 5 |