Atkin-Lehner |
2- 37- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
18056c |
Isogeny class |
Conductor |
18056 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2048 |
Modular degree for the optimal curve |
Δ |
-2311168 = -1 · 210 · 37 · 61 |
Discriminant |
Eigenvalues |
2- 2 0 0 3 -2 -1 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,32,-36] |
[a1,a2,a3,a4,a6] |
Generators |
[9:30:1] |
Generators of the group modulo torsion |
j |
3429500/2257 |
j-invariant |
L |
7.3575601871016 |
L(r)(E,1)/r! |
Ω |
1.4763050731683 |
Real period |
R |
2.4918833921336 |
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 |
36112a1 |
Quadratic twists by: -4 |