Atkin-Lehner |
5- 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
86975y |
Isogeny class |
Conductor |
86975 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1723392 |
Modular degree for the optimal curve |
Δ |
-1.4658630262619E+20 |
Discriminant |
Eigenvalues |
0 -1 5- 7- 3 1 -1 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1665673,-1011356627] |
[a1,a2,a3,a4,a6] |
Generators |
[41799:293129:27] |
Generators of the group modulo torsion |
j |
-34753212658221056/9967704111463 |
j-invariant |
L |
3.77108115343 |
L(r)(E,1)/r! |
Ω |
0.065474740557902 |
Real period |
R |
7.1994961614706 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001822 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86975x1 12425g1 |
Quadratic twists by: 5 -7 |