Atkin-Lehner |
2- 3+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
35136bm |
Isogeny class |
Conductor |
35136 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
8192 |
Modular degree for the optimal curve |
Δ |
-431751168 = -1 · 218 · 33 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 0 2 -4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,180,-368] |
[a1,a2,a3,a4,a6] |
Generators |
[29:171:1] |
Generators of the group modulo torsion |
j |
91125/61 |
j-invariant |
L |
5.8103829620451 |
L(r)(E,1)/r! |
Ω |
0.951982326263 |
Real period |
R |
3.0517283786425 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999987 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35136e1 8784g1 35136bl1 |
Quadratic twists by: -4 8 -3 |