Atkin-Lehner |
2- 3- 17- 73- |
Signs for the Atkin-Lehner involutions |
Class |
22338q |
Isogeny class |
Conductor |
22338 |
Conductor |
∏ cp |
156 |
Product of Tamagawa factors cp |
deg |
559104 |
Modular degree for the optimal curve |
Δ |
1421222448740696064 = 226 · 310 · 173 · 73 |
Discriminant |
Eigenvalues |
2- 3- -2 0 4 0 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5422406,-4858304299] |
[a1,a2,a3,a4,a6] |
Generators |
[-1353:829:1] |
Generators of the group modulo torsion |
j |
24186454233053333576473/1949550684143616 |
j-invariant |
L |
7.533298889317 |
L(r)(E,1)/r! |
Ω |
0.098935841816725 |
Real period |
R |
1.9523916351802 |
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 |
7446e1 |
Quadratic twists by: -3 |