Atkin-Lehner |
5+ 7- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
56525r |
Isogeny class |
Conductor |
56525 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-494601910796875 = -1 · 56 · 78 · 172 · 19 |
Discriminant |
Eigenvalues |
1 -2 5+ 7- 0 -2 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-18726,-1456777] |
[a1,a2,a3,a4,a6] |
Generators |
[227:2336:1] |
Generators of the group modulo torsion |
j |
-46473502468177/31654522291 |
j-invariant |
L |
3.8637679726008 |
L(r)(E,1)/r! |
Ω |
0.19806240139153 |
Real period |
R |
1.2192394749943 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999516 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2261a2 |
Quadratic twists by: 5 |