Atkin-Lehner |
2+ 3+ 5+ 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
49350c |
Isogeny class |
Conductor |
49350 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
4706382751464843750 = 2 · 3 · 522 · 7 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-466650,64305750] |
[a1,a2,a3,a4,a6] |
j |
719248476695138209/301208496093750 |
j-invariant |
L |
0.88295151658413 |
L(r)(E,1)/r! |
Ω |
0.22073787926616 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9870s4 |
Quadratic twists by: 5 |