Atkin-Lehner |
3+ 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
63063i |
Isogeny class |
Conductor |
63063 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-391742160933123 = -1 · 39 · 77 · 11 · 133 |
Discriminant |
Eigenvalues |
0 3+ 0 7- 11- 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-224910,41065589] |
[a1,a2,a3,a4,a6] |
Generators |
[2226:1319:8] |
Generators of the group modulo torsion |
j |
-543338496000/169169 |
j-invariant |
L |
4.633965974 |
L(r)(E,1)/r! |
Ω |
0.52275221997627 |
Real period |
R |
2.2161388306482 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000026 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63063e1 9009b2 |
Quadratic twists by: -3 -7 |