Atkin-Lehner |
5+ 7+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
56525i |
Isogeny class |
Conductor |
56525 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
718848 |
Modular degree for the optimal curve |
Δ |
33947678515625 = 58 · 72 · 173 · 192 |
Discriminant |
Eigenvalues |
-1 -2 5+ 7+ 0 -2 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3134438,2135671867] |
[a1,a2,a3,a4,a6] |
Generators |
[-1478:60239:1] [91:42980:1] |
Generators of the group modulo torsion |
j |
217962984621942385561/2172651425 |
j-invariant |
L |
4.4488429338769 |
L(r)(E,1)/r! |
Ω |
0.45744946124767 |
Real period |
R |
1.620886863195 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000011 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11305h1 |
Quadratic twists by: 5 |