Atkin-Lehner |
2- 3+ 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
22512o |
Isogeny class |
Conductor |
22512 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-20638627236605952 = -1 · 212 · 36 · 73 · 674 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 4 2 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,59408,4068352] |
[a1,a2,a3,a4,a6] |
Generators |
[-62:378:1] |
Generators of the group modulo torsion |
j |
5660975162375567/5038727352687 |
j-invariant |
L |
5.8647507691222 |
L(r)(E,1)/r! |
Ω |
0.25007418102897 |
Real period |
R |
1.9543370241151 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1407c1 90048cb1 67536bw1 |
Quadratic twists by: -4 8 -3 |