Atkin-Lehner |
2+ 3+ 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
18096f |
Isogeny class |
Conductor |
18096 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
32779534187088 = 24 · 38 · 135 · 292 |
Discriminant |
Eigenvalues |
2+ 3+ 2 4 2 13- 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-124547,16957302] |
[a1,a2,a3,a4,a6] |
j |
13353866478112073728/2048720886693 |
j-invariant |
L |
3.173091945669 |
L(r)(E,1)/r! |
Ω |
0.6346183891338 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9048j1 72384dc1 54288r1 |
Quadratic twists by: -4 8 -3 |