Atkin-Lehner |
2- 3+ 5+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
73200bq |
Isogeny class |
Conductor |
73200 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1.205604E+24 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2033334008,35291413606512] |
[a1,a2,a3,a4,a6] |
Generators |
[3159585181054153068:-12791164214800000000:123126934336749] |
Generators of the group modulo torsion |
j |
14526798467252802652531441/18837562500000000 |
j-invariant |
L |
6.0197225137318 |
L(r)(E,1)/r! |
Ω |
0.073222656899067 |
Real period |
R |
20.552800072776 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002585 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
9150j3 14640bl4 |
Quadratic twists by: -4 5 |