Atkin-Lehner |
5- 23+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
17825f |
Isogeny class |
Conductor |
17825 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
15552 |
Modular degree for the optimal curve |
Δ |
-1969929875 = -1 · 53 · 232 · 313 |
Discriminant |
Eigenvalues |
2 -1 5- 4 6 2 -5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-178,2383] |
[a1,a2,a3,a4,a6] |
j |
-5017776128/15759439 |
j-invariant |
L |
5.185804139447 |
L(r)(E,1)/r! |
Ω |
1.2964510348617 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17825k1 |
Quadratic twists by: 5 |