Atkin-Lehner |
3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
127449br |
Isogeny class |
Conductor |
127449 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-102392655450939 = -1 · 311 · 76 · 173 |
Discriminant |
Eigenvalues |
-2 3- 3 7- -5 1 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-372351,-87454796] |
[a1,a2,a3,a4,a6] |
Generators |
[68068:1716781:64] |
Generators of the group modulo torsion |
j |
-13549359104/243 |
j-invariant |
L |
4.3036679721984 |
L(r)(E,1)/r! |
Ω |
0.096634223345552 |
Real period |
R |
5.566956294077 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999748686 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42483m2 2601l2 127449bs2 |
Quadratic twists by: -3 -7 17 |