Atkin-Lehner |
2- 3+ 5+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
73200bq |
Isogeny class |
Conductor |
73200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
6403536000000000000 = 216 · 38 · 512 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-32533334008,2258619413606512] |
[a1,a2,a3,a4,a6] |
Generators |
[428367124892:-3471522300000:4173281] |
Generators of the group modulo torsion |
j |
59501710967615564842432531441/100055250000 |
j-invariant |
L |
6.0197225137318 |
L(r)(E,1)/r! |
Ω |
0.073222656899067 |
Real period |
R |
10.276400036387 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002585 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9150j5 14640bl5 |
Quadratic twists by: -4 5 |