Atkin-Lehner |
2+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
33800j |
Isogeny class |
Conductor |
33800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
-247132620800 = -1 · 211 · 52 · 136 |
Discriminant |
Eigenvalues |
2+ 3 5+ 2 -1 13+ -5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,845,-21970] |
[a1,a2,a3,a4,a6] |
Generators |
[4846374:395153434:729] |
Generators of the group modulo torsion |
j |
270 |
j-invariant |
L |
10.665551617906 |
L(r)(E,1)/r! |
Ω |
0.5014788013159 |
Real period |
R |
10.63410017524 |
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 |
67600s1 33800bd1 200e1 |
Quadratic twists by: -4 5 13 |