Atkin-Lehner |
3- 5+ 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
47175l |
Isogeny class |
Conductor |
47175 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-7823955322265625 = -1 · 34 · 512 · 172 · 372 |
Discriminant |
Eigenvalues |
1 3- 5+ 4 -6 -2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-30151,-4711177] |
[a1,a2,a3,a4,a6] |
Generators |
[1267:43991:1] |
Generators of the group modulo torsion |
j |
-193993930486369/500733140625 |
j-invariant |
L |
9.1271301060477 |
L(r)(E,1)/r! |
Ω |
0.16851491972606 |
Real period |
R |
3.3851342810222 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9435c2 |
Quadratic twists by: 5 |