Atkin-Lehner |
2- 3+ 11+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
58344f |
Isogeny class |
Conductor |
58344 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
9204476396544 = 210 · 32 · 112 · 134 · 172 |
Discriminant |
Eigenvalues |
2- 3+ -2 -4 11+ 13+ 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8024,-232356] |
[a1,a2,a3,a4,a6] |
Generators |
[-51:204:1] |
Generators of the group modulo torsion |
j |
55802112308068/8988746481 |
j-invariant |
L |
2.9026099788742 |
L(r)(E,1)/r! |
Ω |
0.50992147926178 |
Real period |
R |
2.8461342550674 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994178 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
116688g2 |
Quadratic twists by: -4 |