Atkin-Lehner |
2+ 3- 5- 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
33390t |
Isogeny class |
Conductor |
33390 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
6144000 |
Modular degree for the optimal curve |
Δ |
1.9244978224121E+23 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 4 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-97878429,372142853253] |
[a1,a2,a3,a4,a6] |
j |
142251598903441575328271569/263991470838423552000 |
j-invariant |
L |
3.0245002160197 |
L(r)(E,1)/r! |
Ω |
0.10081667386731 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11130bc1 |
Quadratic twists by: -3 |