Atkin-Lehner |
2- 17+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
5372a |
Isogeny class |
Conductor |
5372 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1296 |
Modular degree for the optimal curve |
Δ |
5844736 = 28 · 172 · 79 |
Discriminant |
Eigenvalues |
2- -1 3 -1 -2 3 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-244,-1384] |
[a1,a2,a3,a4,a6] |
Generators |
[-70:17:8] |
Generators of the group modulo torsion |
j |
6301325392/22831 |
j-invariant |
L |
3.6812450925939 |
L(r)(E,1)/r! |
Ω |
1.2078096753856 |
Real period |
R |
1.5239342620014 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21488d1 85952e1 48348i1 91324a1 |
Quadratic twists by: -4 8 -3 17 |