Atkin-Lehner |
2+ 3- 19- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
33288f |
Isogeny class |
Conductor |
33288 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
327168 |
Modular degree for the optimal curve |
Δ |
-100282820377381632 = -1 · 28 · 324 · 19 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 2 -4 6 1 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-81017,-17659893] |
[a1,a2,a3,a4,a6] |
Generators |
[2419:118098:1] |
Generators of the group modulo torsion |
j |
-229729929845705728/391729767099147 |
j-invariant |
L |
7.594324652945 |
L(r)(E,1)/r! |
Ω |
0.13372372088847 |
Real period |
R |
0.59157453847813 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
66576a1 99864o1 |
Quadratic twists by: -4 -3 |