Atkin-Lehner |
2- 7+ 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
55216j |
Isogeny class |
Conductor |
55216 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-13586262953639936 = -1 · 214 · 76 · 172 · 293 |
Discriminant |
Eigenvalues |
2- -1 -3 7+ 3 5 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2888032,1890054656] |
[a1,a2,a3,a4,a6] |
Generators |
[994:686:1] |
Generators of the group modulo torsion |
j |
-650384103073295640673/3316958728916 |
j-invariant |
L |
3.864455934398 |
L(r)(E,1)/r! |
Ω |
0.35193837295061 |
Real period |
R |
1.3725613031233 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000074 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6902e2 |
Quadratic twists by: -4 |