Atkin-Lehner |
5+ 7+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
44275f |
Isogeny class |
Conductor |
44275 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
5454486417939453125 = 510 · 73 · 11 · 236 |
Discriminant |
Eigenvalues |
0 2 5+ 7+ 11- 1 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-191118333,-1016891057807] |
[a1,a2,a3,a4,a6] |
Generators |
[-12433678354653854221:-35543909336204627:1557950990102983] |
Generators of the group modulo torsion |
j |
79055250130663427276800/558539409197 |
j-invariant |
L |
6.9122461850854 |
L(r)(E,1)/r! |
Ω |
0.0406044813479 |
Real period |
R |
28.372263174029 |
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 |
44275r2 |
Quadratic twists by: 5 |