Atkin-Lehner |
2- 3+ 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
101640bq |
Isogeny class |
Conductor |
101640 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
378129066084000000 = 28 · 32 · 56 · 72 · 118 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 11- -2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-667476,208021860] |
[a1,a2,a3,a4,a6] |
Generators |
[-414:20328:1] |
Generators of the group modulo torsion |
j |
72516235474384/833765625 |
j-invariant |
L |
5.6838027536285 |
L(r)(E,1)/r! |
Ω |
0.3023238816313 |
Real period |
R |
2.3500470477631 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999818101 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
9240c2 |
Quadratic twists by: -11 |