Atkin-Lehner |
2+ 5- 7+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
65450k |
Isogeny class |
Conductor |
65450 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
47432782628000 = 25 · 53 · 78 · 112 · 17 |
Discriminant |
Eigenvalues |
2+ -2 5- 7+ 11+ -2 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-11756,-362742] |
[a1,a2,a3,a4,a6] |
Generators |
[-48:326:1] |
Generators of the group modulo torsion |
j |
1437273193274477/379462261024 |
j-invariant |
L |
2.3812621796561 |
L(r)(E,1)/r! |
Ω |
0.46750588586073 |
Real period |
R |
2.5467724062516 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996453 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65450bk2 |
Quadratic twists by: 5 |