Atkin-Lehner |
2+ 7- 17+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
17374a |
Isogeny class |
Conductor |
17374 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
13760 |
Modular degree for the optimal curve |
Δ |
-95348512 = -1 · 25 · 74 · 17 · 73 |
Discriminant |
Eigenvalues |
2+ -2 4 7- -1 3 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-724,-7566] |
[a1,a2,a3,a4,a6] |
j |
-41886766402489/95348512 |
j-invariant |
L |
1.8408040421023 |
L(r)(E,1)/r! |
Ω |
0.46020101052558 |
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 |
121618j1 |
Quadratic twists by: -7 |