Atkin-Lehner |
2- 3- 7- 17- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
87822bu |
Isogeny class |
Conductor |
87822 |
Conductor |
∏ cp |
400 |
Product of Tamagawa factors cp |
deg |
4096000 |
Modular degree for the optimal curve |
Δ |
-7.3646208392233E+20 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 0 2 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,907114,-1262839899] |
[a1,a2,a3,a4,a6] |
Generators |
[2267:110403:1] |
Generators of the group modulo torsion |
j |
113235406051431800807/1010236054763142144 |
j-invariant |
L |
10.165126299358 |
L(r)(E,1)/r! |
Ω |
0.079279864480913 |
Real period |
R |
1.2821826023378 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000398 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29274j1 |
Quadratic twists by: -3 |