Atkin-Lehner |
2- 3- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
55440cr |
Isogeny class |
Conductor |
55440 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-40156540428533760 = -1 · 214 · 314 · 5 · 7 · 114 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11+ -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,78117,4725898] |
[a1,a2,a3,a4,a6] |
Generators |
[63:3146:1] |
Generators of the group modulo torsion |
j |
17655210697319/13448344140 |
j-invariant |
L |
5.1109581383669 |
L(r)(E,1)/r! |
Ω |
0.23247590170281 |
Real period |
R |
2.7481117940195 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000017 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6930bb4 18480cz4 |
Quadratic twists by: -4 -3 |