Atkin-Lehner |
2+ 3- 23+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
111504g |
Isogeny class |
Conductor |
111504 |
Conductor |
∏ cp |
136 |
Product of Tamagawa factors cp |
deg |
8460288 |
Modular degree for the optimal curve |
Δ |
-3.9543915773262E+21 |
Discriminant |
Eigenvalues |
2+ 3- -3 4 2 -4 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,3664728,-1363369644] |
[a1,a2,a3,a4,a6] |
Generators |
[11898:1314036:1] |
Generators of the group modulo torsion |
j |
2657779090880608652974/1930855262366300607 |
j-invariant |
L |
8.8395101188135 |
L(r)(E,1)/r! |
Ω |
0.0782136841782 |
Real period |
R |
0.83101056437316 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015666 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55752c1 |
Quadratic twists by: -4 |