Atkin-Lehner |
2+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
129472bg |
Isogeny class |
Conductor |
129472 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1546140123136 = -1 · 217 · 74 · 173 |
Discriminant |
Eigenvalues |
2+ -2 -2 7- 2 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1791,52831] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:80:1] [11:-272:1] |
Generators of the group modulo torsion |
j |
986078/2401 |
j-invariant |
L |
8.1062240864054 |
L(r)(E,1)/r! |
Ω |
0.59095125630899 |
Real period |
R |
1.7146558191424 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000003365 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129472ce2 16184f2 129472i2 |
Quadratic twists by: -4 8 17 |