Atkin-Lehner |
2- 3+ 5+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
42480s |
Isogeny class |
Conductor |
42480 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
594584064000 = 212 · 39 · 53 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 3 5 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-57888,5360688] |
[a1,a2,a3,a4,a6] |
j |
266095853568/7375 |
j-invariant |
L |
1.7048404067929 |
L(r)(E,1)/r! |
Ω |
0.85242020336902 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2655b2 42480bc1 |
Quadratic twists by: -4 -3 |