Atkin-Lehner |
2+ 3+ 5- 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
58410d |
Isogeny class |
Conductor |
58410 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1292321250 = 2 · 33 · 54 · 11 · 592 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 11- 6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-444,-3050] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:17:1] |
Generators of the group modulo torsion |
j |
358970654043/47863750 |
j-invariant |
L |
4.6807221660042 |
L(r)(E,1)/r! |
Ω |
1.0491065011142 |
Real period |
R |
1.1154068154721 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000019 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58410s2 |
Quadratic twists by: -3 |