Atkin-Lehner |
2+ 13+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
18512b |
Isogeny class |
Conductor |
18512 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
22464 |
Modular degree for the optimal curve |
Δ |
296192 = 28 · 13 · 89 |
Discriminant |
Eigenvalues |
2+ 2 -4 -3 2 13+ 7 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6945,225101] |
[a1,a2,a3,a4,a6] |
Generators |
[1308:1:27] |
Generators of the group modulo torsion |
j |
144731488592896/1157 |
j-invariant |
L |
4.6690637603614 |
L(r)(E,1)/r! |
Ω |
2.1268001191395 |
Real period |
R |
2.1953467645331 |
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 |
9256c1 74048z1 |
Quadratic twists by: -4 8 |