Atkin-Lehner |
2- 7- 17- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
29036g |
Isogeny class |
Conductor |
29036 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
2112 |
Modular degree for the optimal curve |
Δ |
-116144 = -1 · 24 · 7 · 17 · 61 |
Discriminant |
Eigenvalues |
2- 1 -1 7- -5 -4 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1,16] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:1:1] [0:4:1] |
Generators of the group modulo torsion |
j |
-16384/7259 |
j-invariant |
L |
8.8124479186336 |
L(r)(E,1)/r! |
Ω |
2.695004143515 |
Real period |
R |
1.0899733295822 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999987 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116144k1 |
Quadratic twists by: -4 |