Atkin-Lehner |
2- 3+ 5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
60690bl |
Isogeny class |
Conductor |
60690 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
49675117002000 = 24 · 3 · 53 · 73 · 176 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 0 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-774815,-262832203] |
[a1,a2,a3,a4,a6] |
Generators |
[-2082160:1079683:4096] |
Generators of the group modulo torsion |
j |
2131200347946769/2058000 |
j-invariant |
L |
8.7583416086659 |
L(r)(E,1)/r! |
Ω |
0.1609163125314 |
Real period |
R |
9.0713214746829 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996676 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
210a3 |
Quadratic twists by: 17 |