Atkin-Lehner |
3- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
20727o |
Isogeny class |
Conductor |
20727 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
5115348754803 = 39 · 76 · 472 |
Discriminant |
Eigenvalues |
1 3- 0 7- 0 -6 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-63072,-6080103] |
[a1,a2,a3,a4,a6] |
Generators |
[-144:99:1] [2382:8511:8] |
Generators of the group modulo torsion |
j |
323535264625/59643 |
j-invariant |
L |
8.8065134851397 |
L(r)(E,1)/r! |
Ω |
0.30126236803969 |
Real period |
R |
7.3080099104679 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6909i2 423b2 |
Quadratic twists by: -3 -7 |