Atkin-Lehner |
2- 3+ 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
126960bt |
Isogeny class |
Conductor |
126960 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-518731966501344000 = -1 · 28 · 32 · 53 · 239 |
Discriminant |
Eigenvalues |
2- 3+ 5- -1 0 -4 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-730725,-242665623] |
[a1,a2,a3,a4,a6] |
Generators |
[4217:-267674:1] [3729:221070:1] |
Generators of the group modulo torsion |
j |
-1138621087744/13687875 |
j-invariant |
L |
10.989430722667 |
L(r)(E,1)/r! |
Ω |
0.08158684214162 |
Real period |
R |
2.8061690762441 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999997496 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31740i2 5520o2 |
Quadratic twists by: -4 -23 |