Atkin-Lehner |
2- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
37856o |
Isogeny class |
Conductor |
37856 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
494084834786816 = 29 · 7 · 1310 |
Discriminant |
Eigenvalues |
2- 0 2 7- 4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-22139,681070] |
[a1,a2,a3,a4,a6] |
Generators |
[150501:873730:4913] |
Generators of the group modulo torsion |
j |
485587656/199927 |
j-invariant |
L |
6.9662368934245 |
L(r)(E,1)/r! |
Ω |
0.47440917399237 |
Real period |
R |
7.3420132612545 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999986 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37856a3 75712ba3 2912a3 |
Quadratic twists by: -4 8 13 |