Atkin-Lehner |
3+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
56169d |
Isogeny class |
Conductor |
56169 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
299520 |
Modular degree for the optimal curve |
Δ |
-377990540574567597 = -1 · 39 · 797 |
Discriminant |
Eigenvalues |
-1 3+ 0 1 1 -3 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,157975,-17095562] |
[a1,a2,a3,a4,a6] |
j |
91125/79 |
j-invariant |
L |
0.66349485894806 |
L(r)(E,1)/r! |
Ω |
0.16587371520972 |
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 |
56169c1 711b1 |
Quadratic twists by: -3 -79 |