Atkin-Lehner |
5- 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
17885p |
Isogeny class |
Conductor |
17885 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1824 |
Modular degree for the optimal curve |
Δ |
-89425 = -1 · 52 · 72 · 73 |
Discriminant |
Eigenvalues |
1 0 5- 7- -5 -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-44,125] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:17:1] [4:-1:1] |
Generators of the group modulo torsion |
j |
-194726889/1825 |
j-invariant |
L |
8.4653832062943 |
L(r)(E,1)/r! |
Ω |
3.4122200072873 |
Real period |
R |
1.2404509656784 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89425l1 17885a1 |
Quadratic twists by: 5 -7 |