Atkin-Lehner |
3+ 5+ 13+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
59475b |
Isogeny class |
Conductor |
59475 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1725207123046875 = -1 · 3 · 59 · 136 · 61 |
Discriminant |
Eigenvalues |
0 3+ 5+ 1 0 13+ -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-363533,-84267907] |
[a1,a2,a3,a4,a6] |
Generators |
[697:687:1] [14906:604171:8] |
Generators of the group modulo torsion |
j |
-340045006744059904/110413255875 |
j-invariant |
L |
7.4177716919614 |
L(r)(E,1)/r! |
Ω |
0.097213155441128 |
Real period |
R |
9.5380245326652 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11895j2 |
Quadratic twists by: 5 |