Atkin-Lehner |
2+ 3- 103- |
Signs for the Atkin-Lehner involutions |
Class |
59328n |
Isogeny class |
Conductor |
59328 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
22528 |
Modular degree for the optimal curve |
Δ |
-7381352448 = -1 · 215 · 37 · 103 |
Discriminant |
Eigenvalues |
2+ 3- 0 0 3 -2 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-300,-4592] |
[a1,a2,a3,a4,a6] |
Generators |
[26:72:1] |
Generators of the group modulo torsion |
j |
-125000/309 |
j-invariant |
L |
6.0987204387594 |
L(r)(E,1)/r! |
Ω |
0.53449961793861 |
Real period |
R |
0.71313433092182 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000153 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59328e1 29664c1 19776r1 |
Quadratic twists by: -4 8 -3 |