Atkin-Lehner |
2+ 3- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
30528l |
Isogeny class |
Conductor |
30528 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
39564288 = 210 · 36 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 -4 2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-624,5992] |
[a1,a2,a3,a4,a6] |
j |
35995648/53 |
j-invariant |
L |
2.0415393544807 |
L(r)(E,1)/r! |
Ω |
2.0415393544809 |
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 |
30528bn1 1908b1 3392j1 |
Quadratic twists by: -4 8 -3 |