Atkin-Lehner |
2- 3- 5+ 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
58410z |
Isogeny class |
Conductor |
58410 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3857035822751038950 = 2 · 314 · 52 · 113 · 594 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11+ 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3247268,-2249500143] |
[a1,a2,a3,a4,a6] |
j |
5194580213182185145081/5290858467422550 |
j-invariant |
L |
3.5991219983454 |
L(r)(E,1)/r! |
Ω |
0.11247256243509 |
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 |
19470g3 |
Quadratic twists by: -3 |