Atkin-Lehner |
2- 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
71148be |
Isogeny class |
Conductor |
71148 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
-6932962051280496 = -1 · 24 · 33 · 77 · 117 |
Discriminant |
Eigenvalues |
2- 3+ -3 7- 11- -1 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,33598,3218349] |
[a1,a2,a3,a4,a6] |
j |
1257728/2079 |
j-invariant |
L |
1.1485856277939 |
L(r)(E,1)/r! |
Ω |
0.28714640668032 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10164s1 6468e1 |
Quadratic twists by: -7 -11 |