Atkin-Lehner |
2- 7- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
4522j |
Isogeny class |
Conductor |
4522 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-8678740845774519856 = -1 · 24 · 72 · 1712 · 19 |
Discriminant |
Eigenvalues |
2- 0 -2 7- 4 -2 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-423421,-176914059] |
[a1,a2,a3,a4,a6] |
Generators |
[1453:46958:1] |
Generators of the group modulo torsion |
j |
-8395371739116257217057/8678740845774519856 |
j-invariant |
L |
4.9478166750899 |
L(r)(E,1)/r! |
Ω |
0.089865729468482 |
Real period |
R |
2.2940783917083 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36176s3 40698l3 113050e3 31654n3 |
Quadratic twists by: -4 -3 5 -7 |