Atkin-Lehner |
2+ 3- 5+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
36600n |
Isogeny class |
Conductor |
36600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
-8784000000 = -1 · 210 · 32 · 56 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 -3 5 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8,-4512] |
[a1,a2,a3,a4,a6] |
Generators |
[52:372:1] |
Generators of the group modulo torsion |
j |
-4/549 |
j-invariant |
L |
6.0984963469767 |
L(r)(E,1)/r! |
Ω |
0.59564342707402 |
Real period |
R |
2.5596254696091 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73200n1 109800bv1 1464e1 |
Quadratic twists by: -4 -3 5 |