Atkin-Lehner |
2- 3+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
63162bm |
Isogeny class |
Conductor |
63162 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
4914778837945086 = 2 · 33 · 1112 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 2 2 11- 4 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-122354,-16093437] |
[a1,a2,a3,a4,a6] |
Generators |
[-108728:324543:512] |
Generators of the group modulo torsion |
j |
4235015703339/102750538 |
j-invariant |
L |
13.005162176971 |
L(r)(E,1)/r! |
Ω |
0.2556450828409 |
Real period |
R |
6.3589929212761 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999999436 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63162k2 5742d2 |
Quadratic twists by: -3 -11 |