Atkin-Lehner |
2- 3- 5+ 7- 101- |
Signs for the Atkin-Lehner involutions |
Class |
106050cd |
Isogeny class |
Conductor |
106050 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
32069520000000 = 210 · 34 · 57 · 72 · 101 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -2 -2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-19438,-1008508] |
[a1,a2,a3,a4,a6] |
Generators |
[-88:194:1] |
Generators of the group modulo torsion |
j |
51982817627161/2052449280 |
j-invariant |
L |
13.371026663634 |
L(r)(E,1)/r! |
Ω |
0.40531447099786 |
Real period |
R |
0.41236581738168 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009918 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21210i1 |
Quadratic twists by: 5 |