Atkin-Lehner |
2- 3+ 5+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
59760r |
Isogeny class |
Conductor |
59760 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-15237365760000 = -1 · 217 · 33 · 54 · 832 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 4 4 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,6117,-36918] |
[a1,a2,a3,a4,a6] |
j |
228884003613/137780000 |
j-invariant |
L |
3.2577385188271 |
L(r)(E,1)/r! |
Ω |
0.40721731442873 |
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 |
7470j2 59760u2 |
Quadratic twists by: -4 -3 |