Atkin-Lehner |
2+ 7- 17- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
59024g |
Isogeny class |
Conductor |
59024 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
-413168 = -1 · 24 · 72 · 17 · 31 |
Discriminant |
Eigenvalues |
2+ -1 -4 7- 5 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,0,31] |
[a1,a2,a3,a4,a6] |
Generators |
[3:7:1] |
Generators of the group modulo torsion |
j |
-256/25823 |
j-invariant |
L |
3.6707256145152 |
L(r)(E,1)/r! |
Ω |
2.382551132568 |
Real period |
R |
0.77033511780352 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993348 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29512d1 |
Quadratic twists by: -4 |