Atkin-Lehner |
5+ 7- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
71995m |
Isogeny class |
Conductor |
71995 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
deg |
926640 |
Modular degree for the optimal curve |
Δ |
-1128839992334621875 = -1 · 55 · 73 · 118 · 173 |
Discriminant |
Eigenvalues |
0 -2 5+ 7- 11- 5 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,153509,45626840] |
[a1,a2,a3,a4,a6] |
j |
1866297737216/5266121875 |
j-invariant |
L |
0.57954430729894 |
L(r)(E,1)/r! |
Ω |
0.1931814337668 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
71995c1 |
Quadratic twists by: -11 |