Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
5850bk |
Isogeny class |
Conductor |
5850 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1680 |
Modular degree for the optimal curve |
Δ |
-6160050 = -1 · 2 · 36 · 52 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 3 13+ -7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-200,-1043] |
[a1,a2,a3,a4,a6] |
Generators |
[694:5993:8] |
Generators of the group modulo torsion |
j |
-48317985/338 |
j-invariant |
L |
5.9084624475995 |
L(r)(E,1)/r! |
Ω |
0.634746564557 |
Real period |
R |
4.6541901740919 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46800cu1 650c1 5850w1 76050ba1 |
Quadratic twists by: -4 -3 5 13 |