Atkin-Lehner |
2- 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
58080ch |
Isogeny class |
Conductor |
58080 |
Conductor |
∏ cp |
24 |
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] |
Generators |
[5:-60:1] |
Generators of the group modulo torsion |
j |
-1931776/16875 |
j-invariant |
L |
6.8740390515117 |
L(r)(E,1)/r! |
Ω |
1.1192324421941 |
Real period |
R |
0.25590599684644 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996655 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58080bt1 116160gc1 58080be1 |
Quadratic twists by: -4 8 -11 |