Atkin-Lehner |
2+ 3+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
75504f |
Isogeny class |
Conductor |
75504 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
4916918178551808 = 211 · 36 · 117 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 2 4 11- 13- -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-42632,-298032] |
[a1,a2,a3,a4,a6] |
Generators |
[2666:137214:1] |
Generators of the group modulo torsion |
j |
2361864386/1355211 |
j-invariant |
L |
7.4605194020895 |
L(r)(E,1)/r! |
Ω |
0.36071953689053 |
Real period |
R |
2.5852908688647 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003399 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37752k2 6864b2 |
Quadratic twists by: -4 -11 |