Atkin-Lehner |
2- 3+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
11328n |
Isogeny class |
Conductor |
11328 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
304128 |
Modular degree for the optimal curve |
Δ |
1276859554801385472 = 240 · 39 · 59 |
Discriminant |
Eigenvalues |
2- 3+ -4 0 -4 0 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1504705,708854881] |
[a1,a2,a3,a4,a6] |
j |
1437269372537979889/4870832652288 |
j-invariant |
L |
0.27324739658201 |
L(r)(E,1)/r! |
Ω |
0.27324739658201 |
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 |
11328i1 2832g1 33984cd1 |
Quadratic twists by: -4 8 -3 |