Atkin-Lehner |
3+ 5- 7+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
14805b |
Isogeny class |
Conductor |
14805 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-3469921875 = -1 · 33 · 58 · 7 · 47 |
Discriminant |
Eigenvalues |
0 3+ 5- 7+ -1 2 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1366032,-614524813] |
[a1,a2,a3,a4,a6] |
j |
-10441011330958888009728/128515625 |
j-invariant |
L |
1.1171830126647 |
L(r)(E,1)/r! |
Ω |
0.069823938291543 |
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 |
14805a1 74025f1 103635a1 |
Quadratic twists by: -3 5 -7 |