Atkin-Lehner |
2- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
37856o |
Isogeny class |
Conductor |
37856 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
224890684928 = 29 · 7 · 137 |
Discriminant |
Eigenvalues |
2- 0 2 7- 4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-164099,-25586262] |
[a1,a2,a3,a4,a6] |
Generators |
[223774341040232730:11927535877742038163:77145562593000] |
Generators of the group modulo torsion |
j |
197747699976/91 |
j-invariant |
L |
6.9662368934245 |
L(r)(E,1)/r! |
Ω |
0.23720458699618 |
Real period |
R |
29.368053045018 |
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 |
37856a4 75712ba4 2912a2 |
Quadratic twists by: -4 8 13 |