Atkin-Lehner |
3- 11+ 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
52173d |
Isogeny class |
Conductor |
52173 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
142848 |
Modular degree for the optimal curve |
Δ |
-491405017653 = -1 · 36 · 113 · 17 · 313 |
Discriminant |
Eigenvalues |
1 3- -4 -2 11+ 7 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7539,256094] |
[a1,a2,a3,a4,a6] |
j |
-65008450849329/674080957 |
j-invariant |
L |
1.8717860975619 |
L(r)(E,1)/r! |
Ω |
0.93589304817816 |
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 |
5797b1 |
Quadratic twists by: -3 |