Atkin-Lehner |
2- 3- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
73920ib |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
21856665600 = 214 · 32 · 52 · 72 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11+ -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1265,15375] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:165:1] |
Generators of the group modulo torsion |
j |
13674725584/1334025 |
j-invariant |
L |
9.363868093673 |
L(r)(E,1)/r! |
Ω |
1.1739858579917 |
Real period |
R |
1.9940334096746 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000415 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
73920bg2 18480h2 |
Quadratic twists by: -4 8 |