Atkin-Lehner |
5+ 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
8225c |
Isogeny class |
Conductor |
8225 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2112 |
Modular degree for the optimal curve |
Δ |
128515625 = 58 · 7 · 47 |
Discriminant |
Eigenvalues |
-1 0 5+ 7- 6 -2 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-130,-128] |
[a1,a2,a3,a4,a6] |
j |
15438249/8225 |
j-invariant |
L |
1.5034514866002 |
L(r)(E,1)/r! |
Ω |
1.5034514866002 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
74025t1 1645a1 57575k1 |
Quadratic twists by: -3 5 -7 |