Atkin-Lehner |
2- 3+ 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
73920fj |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
-6.7234501258023E+24 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 11+ -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,24219295,-116020520703] |
[a1,a2,a3,a4,a6] |
Generators |
[17944:2469005:1] |
Generators of the group modulo torsion |
j |
11986661998777424518222/51295853620928503125 |
j-invariant |
L |
4.7587026050222 |
L(r)(E,1)/r! |
Ω |
0.037888705767218 |
Real period |
R |
6.2798431709445 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003485 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73920ds3 18480t4 |
Quadratic twists by: -4 8 |