Atkin-Lehner |
2+ 3- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
105966bb |
Isogeny class |
Conductor |
105966 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
22049280 |
Modular degree for the optimal curve |
Δ |
6.7610916406341E+23 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- 6 2 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-25594731,-30307156619] |
[a1,a2,a3,a4,a6] |
Generators |
[-29185097294:-814457975759:7645373] |
Generators of the group modulo torsion |
j |
6045996937/2204496 |
j-invariant |
L |
4.802507110288 |
L(r)(E,1)/r! |
Ω |
0.069169054391535 |
Real period |
R |
17.35786021847 |
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 |
35322w1 105966cm1 |
Quadratic twists by: -3 29 |