Atkin-Lehner |
2- 5- 11+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
58300m |
Isogeny class |
Conductor |
58300 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
-1249712276230000 = -1 · 24 · 54 · 119 · 53 |
Discriminant |
Eigenvalues |
2- -2 5- 2 11+ 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-24058,-2234187] |
[a1,a2,a3,a4,a6] |
j |
-153999859859200/124971227623 |
j-invariant |
L |
1.6673283974234 |
L(r)(E,1)/r! |
Ω |
0.18525871095165 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58300a2 |
Quadratic twists by: 5 |