Atkin-Lehner |
3- 5+ 7+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
58905t |
Isogeny class |
Conductor |
58905 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
510112503660375 = 39 · 53 · 72 · 114 · 172 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ 11+ 0 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-159300,24487861] |
[a1,a2,a3,a4,a6] |
Generators |
[212:353:1] |
Generators of the group modulo torsion |
j |
613260573399028801/699742803375 |
j-invariant |
L |
5.8120668229313 |
L(r)(E,1)/r! |
Ω |
0.52043726119874 |
Real period |
R |
1.3959576052789 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000351 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19635k2 |
Quadratic twists by: -3 |