Atkin-Lehner |
2- 3- 5+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
109800bw |
Isogeny class |
Conductor |
109800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
10672560000000 = 210 · 37 · 57 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 0 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4392075,3542849750] |
[a1,a2,a3,a4,a6] |
j |
803314200049924/915 |
j-invariant |
L |
3.6516427729346 |
L(r)(E,1)/r! |
Ω |
0.45645530165032 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
36600b4 21960g4 |
Quadratic twists by: -3 5 |