Atkin-Lehner |
2+ 3+ 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
60690c |
Isogeny class |
Conductor |
60690 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2.8641068297754E+24 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 0 -6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-54520578,-131853357468] |
[a1,a2,a3,a4,a6] |
Generators |
[-692705:-1111033:125] |
Generators of the group modulo torsion |
j |
742525803457216841161/118657634071410000 |
j-invariant |
L |
2.6825207375049 |
L(r)(E,1)/r! |
Ω |
0.056159503274001 |
Real period |
R |
11.941526283244 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996389 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3570p3 |
Quadratic twists by: 17 |