Atkin-Lehner |
2+ 3+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
75504g |
Isogeny class |
Conductor |
75504 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3419585070680064 = 211 · 3 · 117 · 134 |
Discriminant |
Eigenvalues |
2+ 3+ -2 0 11- 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-177184,28627744] |
[a1,a2,a3,a4,a6] |
Generators |
[1346:47190:1] |
Generators of the group modulo torsion |
j |
169556172914/942513 |
j-invariant |
L |
3.6718978276663 |
L(r)(E,1)/r! |
Ω |
0.44812616789515 |
Real period |
R |
4.0969464528391 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999991867 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
37752x3 6864c3 |
Quadratic twists by: -4 -11 |