Atkin-Lehner |
2- 3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
31740h |
Isogeny class |
Conductor |
31740 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
2161383193755600 = 24 · 3 · 52 · 239 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 0 2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6435461,6281586264] |
[a1,a2,a3,a4,a6] |
j |
12444451776495616/912525 |
j-invariant |
L |
3.1684378295806 |
L(r)(E,1)/r! |
Ω |
0.35204864773112 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126960bm3 95220bf3 1380d3 |
Quadratic twists by: -4 -3 -23 |