Atkin-Lehner |
3+ 7+ 11+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
23331a |
Isogeny class |
Conductor |
23331 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
26672442489 = 32 · 74 · 112 · 1012 |
Discriminant |
Eigenvalues |
-1 3+ -2 7+ 11+ -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-54439,-4911604] |
[a1,a2,a3,a4,a6] |
j |
17842455720185420017/26672442489 |
j-invariant |
L |
0.31255180933517 |
L(r)(E,1)/r! |
Ω |
0.31255180933516 |
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 |
69993g2 |
Quadratic twists by: -3 |