Atkin-Lehner |
2- 3+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
58080bt |
Isogeny class |
Conductor |
58080 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-8363520000 = -1 · 212 · 33 · 54 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5- 5 11- 2 8 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-205,-4475] |
[a1,a2,a3,a4,a6] |
j |
-1931776/16875 |
j-invariant |
L |
4.423385765329 |
L(r)(E,1)/r! |
Ω |
0.55292322104524 |
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 |
58080ch1 116160ie1 58080o1 |
Quadratic twists by: -4 8 -11 |