Atkin-Lehner |
2- 3- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
71136bi |
Isogeny class |
Conductor |
71136 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
43550884196352 = 212 · 316 · 13 · 19 |
Discriminant |
Eigenvalues |
2- 3- 0 0 -4 13- -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8940,-71008] |
[a1,a2,a3,a4,a6] |
Generators |
[-83:315:1] [-56:504:1] |
Generators of the group modulo torsion |
j |
26463592000/14585103 |
j-invariant |
L |
10.473233501158 |
L(r)(E,1)/r! |
Ω |
0.52534032158838 |
Real period |
R |
9.9680464936366 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
71136o2 23712d2 |
Quadratic twists by: -4 -3 |