Atkin-Lehner |
3- 5+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
30855g |
Isogeny class |
Conductor |
30855 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
2534400 |
Modular degree for the optimal curve |
Δ |
-1.2466972880242E+22 |
Discriminant |
Eigenvalues |
2 3- 5+ 1 11+ -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,4658944,3726753575] |
[a1,a2,a3,a4,a6] |
j |
4742986881028096/5287213506825 |
j-invariant |
L |
5.3853435327497 |
L(r)(E,1)/r! |
Ω |
0.084145992699212 |
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 |
92565bp1 30855j1 |
Quadratic twists by: -3 -11 |