Atkin-Lehner |
3- 5+ 19- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
60705d |
Isogeny class |
Conductor |
60705 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
186558036890625 = 38 · 56 · 192 · 712 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 4 2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-22320,-1096925] |
[a1,a2,a3,a4,a6] |
Generators |
[-33644362:-142876699:493039] |
Generators of the group modulo torsion |
j |
1686901403185921/255909515625 |
j-invariant |
L |
8.0749740891375 |
L(r)(E,1)/r! |
Ω |
0.39457007392051 |
Real period |
R |
10.232623585691 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999057 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
20235j2 |
Quadratic twists by: -3 |