Atkin-Lehner |
7- 17+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
39151f |
Isogeny class |
Conductor |
39151 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
8386560 |
Modular degree for the optimal curve |
Δ |
-6.4828753181622E+20 |
Discriminant |
Eigenvalues |
-1 3 1 7- 5 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-216337827,1224802890028] |
[a1,a2,a3,a4,a6] |
Generators |
[6263658:8535466:729] |
Generators of the group modulo torsion |
j |
-9517718582850347460282609/5510353099611689 |
j-invariant |
L |
7.3328645016052 |
L(r)(E,1)/r! |
Ω |
0.13326000142945 |
Real period |
R |
6.8783434854331 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999959 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5593c1 |
Quadratic twists by: -7 |