Atkin-Lehner |
2- 5+ 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
27280n |
Isogeny class |
Conductor |
27280 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
102400 |
Modular degree for the optimal curve |
Δ |
-150040000000000 = -1 · 212 · 510 · 112 · 31 |
Discriminant |
Eigenvalues |
2- 2 5+ -4 11- -4 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-15416,-938320] |
[a1,a2,a3,a4,a6] |
Generators |
[108036:72512:729] |
Generators of the group modulo torsion |
j |
-98925223576249/36630859375 |
j-invariant |
L |
6.0745709147934 |
L(r)(E,1)/r! |
Ω |
0.2103390523875 |
Real period |
R |
7.2199751375727 |
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 |
1705a1 109120bh1 |
Quadratic twists by: -4 8 |