Atkin-Lehner |
2- 3+ 5+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
59760q |
Isogeny class |
Conductor |
59760 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1904670720000 = 214 · 33 · 54 · 832 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 0 2 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-640083,197107218] |
[a1,a2,a3,a4,a6] |
j |
262246003627451787/17222500 |
j-invariant |
L |
2.5193906791242 |
L(r)(E,1)/r! |
Ω |
0.62984767053918 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7470a2 59760t2 |
Quadratic twists by: -4 -3 |