Atkin-Lehner |
3- 5+ 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
58275c |
Isogeny class |
Conductor |
58275 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
4298031650390625 = 38 · 510 · 72 · 372 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ 0 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-45792,-2056509] |
[a1,a2,a3,a4,a6] |
j |
932288503609/377330625 |
j-invariant |
L |
1.3522728040418 |
L(r)(E,1)/r! |
Ω |
0.33806820104558 |
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 |
19425o2 11655o2 |
Quadratic twists by: -3 5 |