Atkin-Lehner |
2- 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
28556b |
Isogeny class |
Conductor |
28556 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
15120 |
Modular degree for the optimal curve |
Δ |
-1672353584 = -1 · 24 · 116 · 59 |
Discriminant |
Eigenvalues |
2- 1 3 1 11- 4 6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1129,-15116] |
[a1,a2,a3,a4,a6] |
Generators |
[19179420:126275116:300763] |
Generators of the group modulo torsion |
j |
-5619712/59 |
j-invariant |
L |
8.5899488663433 |
L(r)(E,1)/r! |
Ω |
0.41152123404064 |
Real period |
R |
10.436823371179 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114224t1 236b1 |
Quadratic twists by: -4 -11 |