Atkin-Lehner |
2+ 3- 61- |
Signs for the Atkin-Lehner involutions |
Class |
35136v |
Isogeny class |
Conductor |
35136 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-186516504576 = -1 · 222 · 36 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 1 -5 -3 3 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1428,-592] |
[a1,a2,a3,a4,a6] |
Generators |
[4:72:1] |
Generators of the group modulo torsion |
j |
1685159/976 |
j-invariant |
L |
4.5335475749702 |
L(r)(E,1)/r! |
Ω |
0.60091791487036 |
Real period |
R |
1.8860927020074 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35136ck1 1098j1 3904b1 |
Quadratic twists by: -4 8 -3 |