Atkin-Lehner |
2+ 3- 5- 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
18270v |
Isogeny class |
Conductor |
18270 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-4074704460449280000 = -1 · 212 · 38 · 54 · 73 · 294 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -4 -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,200286,-90835052] |
[a1,a2,a3,a4,a6] |
Generators |
[372:5734:1] |
Generators of the group modulo torsion |
j |
1218840126444091871/5589443704320000 |
j-invariant |
L |
3.3234551631261 |
L(r)(E,1)/r! |
Ω |
0.12463283360292 |
Real period |
R |
3.3332460105524 |
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 |
6090s1 91350eo1 127890br1 |
Quadratic twists by: -3 5 -7 |