Atkin-Lehner |
5+ 7- 17- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
127925d |
Isogeny class |
Conductor |
127925 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
44800 |
Modular degree for the optimal curve |
Δ |
-559671875 = -1 · 56 · 72 · 17 · 43 |
Discriminant |
Eigenvalues |
1 1 5+ 7- 2 5 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-276,2073] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:66:1] |
Generators of the group modulo torsion |
j |
-148035889/35819 |
j-invariant |
L |
9.8971968247869 |
L(r)(E,1)/r! |
Ω |
1.5623220336054 |
Real period |
R |
3.1674637209342 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000102114 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5117d1 |
Quadratic twists by: 5 |