Atkin-Lehner |
2- 3- 5+ 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
55650di |
Isogeny class |
Conductor |
55650 |
Conductor |
∏ cp |
960 |
Product of Tamagawa factors cp |
Δ |
-575455738260375000 = -1 · 23 · 35 · 56 · 74 · 534 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,187512,-18834408] |
[a1,a2,a3,a4,a6] |
Generators |
[162:-4056:1] |
Generators of the group modulo torsion |
j |
46664942971332167/36829167248664 |
j-invariant |
L |
11.740142799869 |
L(r)(E,1)/r! |
Ω |
0.16170976280934 |
Real period |
R |
0.30250036124206 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999985 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2226b4 |
Quadratic twists by: 5 |