Atkin-Lehner |
2- 3+ 7+ 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
16422o |
Isogeny class |
Conductor |
16422 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
908070912 = 212 · 34 · 7 · 17 · 23 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ -4 -6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-249,327] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:48:1] [-1:24:1] |
Generators of the group modulo torsion |
j |
1707775420177/908070912 |
j-invariant |
L |
7.5690049133889 |
L(r)(E,1)/r! |
Ω |
1.3790126396999 |
Real period |
R |
0.91478553755136 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49266t1 114954cp1 |
Quadratic twists by: -3 -7 |