Atkin-Lehner |
3- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
55233k |
Isogeny class |
Conductor |
55233 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
729600 |
Modular degree for the optimal curve |
Δ |
-971773679173760721 = -1 · 311 · 17 · 199 |
Discriminant |
Eigenvalues |
-1 3- 1 -3 -6 2 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,191623,34694858] |
[a1,a2,a3,a4,a6] |
Generators |
[4242:275668:1] |
Generators of the group modulo torsion |
j |
3307949/4131 |
j-invariant |
L |
2.2733090971283 |
L(r)(E,1)/r! |
Ω |
0.18670104868165 |
Real period |
R |
1.5220248581728 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000022 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18411i1 55233h1 |
Quadratic twists by: -3 -19 |