Atkin-Lehner |
2- 5- 11- 67- |
Signs for the Atkin-Lehner involutions |
Class |
81070w |
Isogeny class |
Conductor |
81070 |
Conductor |
∏ cp |
33 |
Product of Tamagawa factors cp |
deg |
628320 |
Modular degree for the optimal curve |
Δ |
-46365073046875000 = -1 · 23 · 511 · 116 · 67 |
Discriminant |
Eigenvalues |
2- 0 5- -1 11- 2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-63427,12062779] |
[a1,a2,a3,a4,a6] |
Generators |
[37:-3144:1] |
Generators of the group modulo torsion |
j |
-15928823248281/26171875000 |
j-invariant |
L |
10.416166177045 |
L(r)(E,1)/r! |
Ω |
0.32138410346015 |
Real period |
R |
0.98213133712393 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001353 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
670a1 |
Quadratic twists by: -11 |