Atkin-Lehner |
2- 3- 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
6204f |
Isogeny class |
Conductor |
6204 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
74880 |
Modular degree for the optimal curve |
Δ |
-343223485060084992 = -1 · 28 · 312 · 11 · 475 |
Discriminant |
Eigenvalues |
2- 3- 2 3 11- 3 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-225092,-49915548] |
[a1,a2,a3,a4,a6] |
j |
-4926810476359662928/1340716738515957 |
j-invariant |
L |
3.8901738698507 |
L(r)(E,1)/r! |
Ω |
0.10806038527363 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24816i1 99264d1 18612g1 68244i1 |
Quadratic twists by: -4 8 -3 -11 |