Atkin-Lehner |
2+ 3+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
101136g |
Isogeny class |
Conductor |
101136 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
221027451128064 = 28 · 34 · 78 · 432 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-26084,1463904] |
[a1,a2,a3,a4,a6] |
Generators |
[3204:181104:1] |
Generators of the group modulo torsion |
j |
65168050768/7338681 |
j-invariant |
L |
4.8456591288087 |
L(r)(E,1)/r! |
Ω |
0.54210886513123 |
Real period |
R |
4.4692675728862 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999690413 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
50568t2 14448i2 |
Quadratic twists by: -4 -7 |