Atkin-Lehner |
2+ 3- 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
71568u |
Isogeny class |
Conductor |
71568 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
1351168 |
Modular degree for the optimal curve |
Δ |
-1087347727480772016 = -1 · 24 · 319 · 77 · 71 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- -5 3 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1087014,-439090801] |
[a1,a2,a3,a4,a6] |
j |
-12178158265241208832/93222541793619 |
j-invariant |
L |
1.0345233495704 |
L(r)(E,1)/r! |
Ω |
0.073894525616847 |
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 |
35784i1 23856d1 |
Quadratic twists by: -4 -3 |