Atkin-Lehner |
2+ 3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
60690w |
Isogeny class |
Conductor |
60690 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1596061509274260 = 22 · 34 · 5 · 74 · 177 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-526709,-147162148] |
[a1,a2,a3,a4,a6] |
Generators |
[-417:292:1] |
Generators of the group modulo torsion |
j |
669485563505641/66123540 |
j-invariant |
L |
5.2722942460404 |
L(r)(E,1)/r! |
Ω |
0.17721869836968 |
Real period |
R |
1.8593883908105 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998296 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3570g3 |
Quadratic twists by: 17 |