Atkin-Lehner |
2+ 3- 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
15582i |
Isogeny class |
Conductor |
15582 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-9091208826 = -1 · 2 · 36 · 76 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 1 7- -1 2 7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,317,4064] |
[a1,a2,a3,a4,a6] |
Generators |
[4:71:1] |
Generators of the group modulo torsion |
j |
30080231/77274 |
j-invariant |
L |
4.8394809454915 |
L(r)(E,1)/r! |
Ω |
0.90899843341572 |
Real period |
R |
0.44366421763295 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124656ca1 46746bq1 318c1 |
Quadratic twists by: -4 -3 -7 |