Atkin-Lehner |
2+ 5- 31+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
14570d |
Isogeny class |
Conductor |
14570 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-8046282500 = -1 · 22 · 54 · 31 · 473 |
Discriminant |
Eigenvalues |
2+ 3 5- 4 -4 5 0 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-139,-4327] |
[a1,a2,a3,a4,a6] |
j |
-298211519241/8046282500 |
j-invariant |
L |
4.5556609090839 |
L(r)(E,1)/r! |
Ω |
0.56945761363549 |
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 |
116560y1 72850n1 |
Quadratic twists by: -4 5 |