Atkin-Lehner |
3- 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
63063bd |
Isogeny class |
Conductor |
63063 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
199415233017 = 37 · 73 · 112 · 133 |
Discriminant |
Eigenvalues |
-1 3- 0 7- 11- 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-8420,298694] |
[a1,a2,a3,a4,a6] |
Generators |
[48:34:1] |
Generators of the group modulo torsion |
j |
263991523375/797511 |
j-invariant |
L |
4.3403024021508 |
L(r)(E,1)/r! |
Ω |
1.0081863964304 |
Real period |
R |
0.35875495656911 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999473 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21021j1 63063u1 |
Quadratic twists by: -3 -7 |