Atkin-Lehner |
2+ 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
5850b |
Isogeny class |
Conductor |
5850 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
12993855468750 = 2 · 39 · 59 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 0 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-899817,-328308409] |
[a1,a2,a3,a4,a6] |
Generators |
[2160829:65306273:1331] |
Generators of the group modulo torsion |
j |
261984288445803/42250 |
j-invariant |
L |
3.3696917740689 |
L(r)(E,1)/r! |
Ω |
0.15501045383351 |
Real period |
R |
10.869240398742 |
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 |
46800cb4 5850bd2 1170i4 76050dp4 |
Quadratic twists by: -4 -3 5 13 |