Atkin-Lehner |
2+ 3- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
11592f |
Isogeny class |
Conductor |
11592 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
76799843656704 = 210 · 310 · 74 · 232 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 0 6 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12171,298870] |
[a1,a2,a3,a4,a6] |
j |
267100692772/102880449 |
j-invariant |
L |
2.2292084881075 |
L(r)(E,1)/r! |
Ω |
0.55730212202686 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
23184e2 92736cl2 3864e2 81144u2 |
Quadratic twists by: -4 8 -3 -7 |