Atkin-Lehner |
2- 3- 17- 73- |
Signs for the Atkin-Lehner involutions |
Class |
22338p |
Isogeny class |
Conductor |
22338 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
57900096 = 26 · 36 · 17 · 73 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 4 -4 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-209,1153] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:50:1] |
Generators of the group modulo torsion |
j |
1378749897/79424 |
j-invariant |
L |
8.1728391980462 |
L(r)(E,1)/r! |
Ω |
1.9496339549006 |
Real period |
R |
1.3973288297705 |
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 |
2482b1 |
Quadratic twists by: -3 |