Atkin-Lehner |
2- 3+ 5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
60690bq |
Isogeny class |
Conductor |
60690 |
Conductor |
∏ cp |
448 |
Product of Tamagawa factors cp |
Δ |
5.6085889378423E+24 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 4 -6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-173231230,-870225168325] |
[a1,a2,a3,a4,a6] |
Generators |
[-8057:54603:1] |
Generators of the group modulo torsion |
j |
23818189767728437646209/232359312482640000 |
j-invariant |
L |
8.5300507382633 |
L(r)(E,1)/r! |
Ω |
0.041638856913269 |
Real period |
R |
1.8290888114844 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000376 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3570x3 |
Quadratic twists by: 17 |