Atkin-Lehner |
2- 3- 7- 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
107184cs |
Isogeny class |
Conductor |
107184 |
Conductor |
∏ cp |
512 |
Product of Tamagawa factors cp |
Δ |
7212459735250108416 = 218 · 38 · 72 · 112 · 294 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 11+ 6 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-501872,44908500] |
[a1,a2,a3,a4,a6] |
Generators |
[-692:7830:1] |
Generators of the group modulo torsion |
j |
3413056905320720113/1760854427551296 |
j-invariant |
L |
11.225403122922 |
L(r)(E,1)/r! |
Ω |
0.20751491691553 |
Real period |
R |
1.6904512302414 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000002845 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
13398z2 |
Quadratic twists by: -4 |