Atkin-Lehner |
2+ 3+ 7- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
16422f |
Isogeny class |
Conductor |
16422 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
311040 |
Modular degree for the optimal curve |
Δ |
-213978357595570176 = -1 · 216 · 33 · 7 · 175 · 233 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7- 2 2 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1901042,-1009909068] |
[a1,a2,a3,a4,a6] |
Generators |
[12933676:2503387370:343] |
Generators of the group modulo torsion |
j |
-759799852292647673818921/213978357595570176 |
j-invariant |
L |
3.6980028883176 |
L(r)(E,1)/r! |
Ω |
0.064285683253737 |
Real period |
R |
9.587419523674 |
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 |
49266by1 114954bg1 |
Quadratic twists by: -3 -7 |