Atkin-Lehner |
2- 3- 5+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
59220o |
Isogeny class |
Conductor |
59220 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
66007602988664400 = 24 · 37 · 52 · 7 · 476 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1557408,747984193] |
[a1,a2,a3,a4,a6] |
Generators |
[1499:42210:1] |
Generators of the group modulo torsion |
j |
35816521494729588736/5659088047725 |
j-invariant |
L |
6.6024417908351 |
L(r)(E,1)/r! |
Ω |
0.33684485891347 |
Real period |
R |
4.9002097080517 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997195 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
19740v3 |
Quadratic twists by: -3 |