Atkin-Lehner |
3+ 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
63063h |
Isogeny class |
Conductor |
63063 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
1855228846417947 = 33 · 76 · 112 · 136 |
Discriminant |
Eigenvalues |
-1 3+ -2 7- 11+ 13- 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-88136,9877592] |
[a1,a2,a3,a4,a6] |
Generators |
[310:-3659:1] |
Generators of the group modulo torsion |
j |
23835655373139/584043889 |
j-invariant |
L |
2.2307985667101 |
L(r)(E,1)/r! |
Ω |
0.46807160748322 |
Real period |
R |
0.39716119841759 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992411 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63063j2 1287a2 |
Quadratic twists by: -3 -7 |