Atkin-Lehner |
2+ 3- 7- 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
22134u |
Isogeny class |
Conductor |
22134 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
497664 |
Modular degree for the optimal curve |
Δ |
1.14016647418E+19 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 0 2 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2297746,1330534052] |
[a1,a2,a3,a4,a6] |
Generators |
[-5770:411799:8] |
Generators of the group modulo torsion |
j |
1341619916042587453161625/11401664741800316928 |
j-invariant |
L |
5.083707723731 |
L(r)(E,1)/r! |
Ω |
0.22785607083 |
Real period |
R |
5.5777619894137 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
66402bo1 |
Quadratic twists by: -3 |