Atkin-Lehner |
7- 17+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
39151d |
Isogeny class |
Conductor |
39151 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
30926510279 = 77 · 17 · 472 |
Discriminant |
Eigenvalues |
-1 0 -2 7- -4 4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-31051,-2098204] |
[a1,a2,a3,a4,a6] |
Generators |
[891:25573:1] |
Generators of the group modulo torsion |
j |
28141622521713/262871 |
j-invariant |
L |
1.7818228712339 |
L(r)(E,1)/r! |
Ω |
0.35965159691024 |
Real period |
R |
4.9543026822058 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5593b2 |
Quadratic twists by: -7 |