Atkin-Lehner |
2- 3- 5- 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
60390bl |
Isogeny class |
Conductor |
60390 |
Conductor |
∏ cp |
324 |
Product of Tamagawa factors cp |
Δ |
-428145466148136000 = -1 · 26 · 311 · 53 · 113 · 613 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 11- 2 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,162553,-18875329] |
[a1,a2,a3,a4,a6] |
j |
651603870961883351/587305166184000 |
j-invariant |
L |
5.8884983058589 |
L(r)(E,1)/r! |
Ω |
0.16356939746263 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
20130f2 |
Quadratic twists by: -3 |