Atkin-Lehner |
2- 3- 5+ 7+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
63630be |
Isogeny class |
Conductor |
63630 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
1496235525120 = 210 · 310 · 5 · 72 · 101 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 2 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6998,219237] |
[a1,a2,a3,a4,a6] |
Generators |
[17:315:1] |
Generators of the group modulo torsion |
j |
51982817627161/2052449280 |
j-invariant |
L |
9.3785678832527 |
L(r)(E,1)/r! |
Ω |
0.8419105153191 |
Real period |
R |
0.55698127728392 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996043 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21210i1 |
Quadratic twists by: -3 |