Atkin-Lehner |
3- 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
6525f |
Isogeny class |
Conductor |
6525 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
10836414140625 = 314 · 57 · 29 |
Discriminant |
Eigenvalues |
-1 3- 5+ 4 0 -6 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6755,145122] |
[a1,a2,a3,a4,a6] |
j |
2992209121/951345 |
j-invariant |
L |
1.3310099551354 |
L(r)(E,1)/r! |
Ω |
0.66550497756771 |
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 |
104400ef1 2175b1 1305c1 |
Quadratic twists by: -4 -3 5 |