Atkin-Lehner |
2- 3- 5- 103- |
Signs for the Atkin-Lehner involutions |
Class |
9270x |
Isogeny class |
Conductor |
9270 |
Conductor |
∏ cp |
336 |
Product of Tamagawa factors cp |
deg |
145152 |
Modular degree for the optimal curve |
Δ |
-1254355047951120000 = -1 · 27 · 315 · 54 · 1033 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 -3 -4 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-228407,-68272369] |
[a1,a2,a3,a4,a6] |
Generators |
[8271:746734:1] |
Generators of the group modulo torsion |
j |
-1807684483034720809/1720651643280000 |
j-invariant |
L |
7.0223862766235 |
L(r)(E,1)/r! |
Ω |
0.10510100875091 |
Real period |
R |
0.19885593302107 |
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 |
74160bo1 3090c1 46350l1 |
Quadratic twists by: -4 -3 5 |