Atkin-Lehner |
3- 5+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
42135f |
Isogeny class |
Conductor |
42135 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
8976566257245 = 34 · 5 · 536 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 -4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-6067499,-5753085163] |
[a1,a2,a3,a4,a6] |
j |
1114544804970241/405 |
j-invariant |
L |
0.76955049493503 |
L(r)(E,1)/r! |
Ω |
0.096193811881528 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126405s8 15a5 |
Quadratic twists by: -3 53 |