Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
71148cn |
Isogeny class |
Conductor |
71148 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
3093552 |
Modular degree for the optimal curve |
Δ |
-2.6158065819481E+19 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 11- -5 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8521949,-9581393340] |
[a1,a2,a3,a4,a6] |
Generators |
[5090203:11484249657:1] |
Generators of the group modulo torsion |
j |
-70647808/27 |
j-invariant |
L |
5.6655384122004 |
L(r)(E,1)/r! |
Ω |
0.044179913966739 |
Real period |
R |
14.248653097014 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000862 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71148f1 71148cm1 |
Quadratic twists by: -7 -11 |