Atkin-Lehner |
2- 3+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
18240bx |
Isogeny class |
Conductor |
18240 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
-18611488972800000 = -1 · 216 · 314 · 55 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 0 2 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,55839,-4176639] |
[a1,a2,a3,a4,a6] |
Generators |
[29653:5106336:1] |
Generators of the group modulo torsion |
j |
293798043977756/283988784375 |
j-invariant |
L |
3.6180540606994 |
L(r)(E,1)/r! |
Ω |
0.21113248621642 |
Real period |
R |
8.5682078715986 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18240z1 4560h1 54720ey1 91200ic1 |
Quadratic twists by: -4 8 -3 5 |