Atkin-Lehner |
2+ 3- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
5202d |
Isogeny class |
Conductor |
5202 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
68544 |
Modular degree for the optimal curve |
Δ |
-17635914641127852 = -1 · 22 · 37 · 1710 |
Discriminant |
Eigenvalues |
2+ 3- 4 -3 -4 -5 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-15660,-6429812] |
[a1,a2,a3,a4,a6] |
j |
-289/12 |
j-invariant |
L |
1.3597252026613 |
L(r)(E,1)/r! |
Ω |
0.16996565033266 |
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 |
41616cq1 1734k1 5202f1 |
Quadratic twists by: -4 -3 17 |