Atkin-Lehner |
2- 3+ 5+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
58650bj |
Isogeny class |
Conductor |
58650 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
8599556250000 = 24 · 32 · 58 · 172 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 -4 -6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-5188,25781] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:405:1] |
Generators of the group modulo torsion |
j |
988345570681/550371600 |
j-invariant |
L |
4.9210074896336 |
L(r)(E,1)/r! |
Ω |
0.63560978936724 |
Real period |
R |
0.96777291116624 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997155 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
11730g2 |
Quadratic twists by: 5 |