Atkin-Lehner |
2- 3+ 5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
60690bl |
Isogeny class |
Conductor |
60690 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
1597365481095562500 = 22 · 32 · 56 · 76 · 176 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 0 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-780595,-258719155] |
[a1,a2,a3,a4,a6] |
Generators |
[-3866:21429:8] |
Generators of the group modulo torsion |
j |
2179252305146449/66177562500 |
j-invariant |
L |
8.7583416086659 |
L(r)(E,1)/r! |
Ω |
0.1609163125314 |
Real period |
R |
4.5356607373414 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996676 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
210a6 |
Quadratic twists by: 17 |