Atkin-Lehner |
2- 5- 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
81400u |
Isogeny class |
Conductor |
81400 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
7225085567744000 = 211 · 53 · 11 · 376 |
Discriminant |
Eigenvalues |
2- -2 5- 2 11+ -6 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-86768,8918368] |
[a1,a2,a3,a4,a6] |
Generators |
[-273:3512:1] [403:6290:1] |
Generators of the group modulo torsion |
j |
282206825405962/28222990499 |
j-invariant |
L |
8.1174836383773 |
L(r)(E,1)/r! |
Ω |
0.40683433993482 |
Real period |
R |
6.6509328583867 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000246 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81400h2 |
Quadratic twists by: 5 |