Atkin-Lehner |
2+ 3- 7- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
69678j |
Isogeny class |
Conductor |
69678 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
82251170121443904 = 26 · 36 · 710 · 792 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-114963,5919605] |
[a1,a2,a3,a4,a6] |
Generators |
[-74:3781:1] |
Generators of the group modulo torsion |
j |
1959225089697/959017024 |
j-invariant |
L |
4.6620309738165 |
L(r)(E,1)/r! |
Ω |
0.30375903252164 |
Real period |
R |
3.8369484316331 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000222 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
7742j2 9954a2 |
Quadratic twists by: -3 -7 |