Atkin-Lehner |
2+ 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
58800bg |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-2657704554540000000 = -1 · 28 · 318 · 57 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -4 -2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1143508,-476769488] |
[a1,a2,a3,a4,a6] |
j |
-120527903507632/1937102445 |
j-invariant |
L |
0.29171255060183 |
L(r)(E,1)/r! |
Ω |
0.072928138458794 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29400bs2 11760bi2 58800dl2 |
Quadratic twists by: -4 5 -7 |