Atkin-Lehner |
2- 17+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
27472j |
Isogeny class |
Conductor |
27472 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
2032488448 = 212 · 173 · 101 |
Discriminant |
Eigenvalues |
2- -1 0 -5 -3 -1 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-114613,14973053] |
[a1,a2,a3,a4,a6] |
Generators |
[196:5:1] |
Generators of the group modulo torsion |
j |
40650809135104000/496213 |
j-invariant |
L |
1.9642463075792 |
L(r)(E,1)/r! |
Ω |
1.0377355738191 |
Real period |
R |
1.8928196711522 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1717a2 109888o2 |
Quadratic twists by: -4 8 |