Atkin-Lehner |
5- 31- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
6355g |
Isogeny class |
Conductor |
6355 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
853248 |
Modular degree for the optimal curve |
Δ |
1.5791197061539E+23 |
Discriminant |
Eigenvalues |
1 2 5- -2 -4 0 8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-17655897,21202393256] |
[a1,a2,a3,a4,a6] |
Generators |
[13533652:1251058174:1331] |
Generators of the group modulo torsion |
j |
608685716070311043235420441/157911970615386962890625 |
j-invariant |
L |
6.514102163887 |
L(r)(E,1)/r! |
Ω |
0.095824839325714 |
Real period |
R |
6.1799331986878 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101680t1 57195q1 31775f1 |
Quadratic twists by: -4 -3 5 |