Atkin-Lehner |
2- 7- 11+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
85162z |
Isogeny class |
Conductor |
85162 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
53342349310712 = 23 · 78 · 114 · 79 |
Discriminant |
Eigenvalues |
2- -2 0 7- 11+ -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-164298,-25644116] |
[a1,a2,a3,a4,a6] |
Generators |
[-234:166:1] [13630:538169:8] |
Generators of the group modulo torsion |
j |
4169005495908625/453402488 |
j-invariant |
L |
11.655623642955 |
L(r)(E,1)/r! |
Ω |
0.23713426140051 |
Real period |
R |
8.1920002998805 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999365 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12166k2 |
Quadratic twists by: -7 |