Atkin-Lehner |
2+ 3- 31- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
78864g |
Isogeny class |
Conductor |
78864 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
183040 |
Modular degree for the optimal curve |
Δ |
-29869194892032 = -1 · 28 · 32 · 31 · 535 |
Discriminant |
Eigenvalues |
2+ 3- 2 3 0 -4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,4503,-234333] |
[a1,a2,a3,a4,a6] |
Generators |
[393159150:62366696289:15625] |
Generators of the group modulo torsion |
j |
39436025480192/116676542547 |
j-invariant |
L |
10.868897889413 |
L(r)(E,1)/r! |
Ω |
0.33916457735874 |
Real period |
R |
16.023043998171 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999998282 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39432b1 |
Quadratic twists by: -4 |