Atkin-Lehner |
3- 5- 29+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
56115m |
Isogeny class |
Conductor |
56115 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
19456 |
Modular degree for the optimal curve |
Δ |
-368170515 = -1 · 310 · 5 · 29 · 43 |
Discriminant |
Eigenvalues |
1 3- 5- -3 0 -2 5 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,126,715] |
[a1,a2,a3,a4,a6] |
j |
302111711/505035 |
j-invariant |
L |
2.3209560966584 |
L(r)(E,1)/r! |
Ω |
1.1604780489606 |
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 |
18705b1 |
Quadratic twists by: -3 |