Atkin-Lehner |
2+ 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
5850b |
Isogeny class |
Conductor |
5850 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-249881835937500 = -1 · 22 · 39 · 512 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 0 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-56067,-5152159] |
[a1,a2,a3,a4,a6] |
Generators |
[1484:55633:1] |
Generators of the group modulo torsion |
j |
-63378025803/812500 |
j-invariant |
L |
3.3696917740689 |
L(r)(E,1)/r! |
Ω |
0.15501045383351 |
Real period |
R |
5.4346201993708 |
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 |
46800cb3 5850bd1 1170i3 76050dp3 |
Quadratic twists by: -4 -3 5 13 |