Atkin-Lehner |
3+ 5+ 7- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
58905d |
Isogeny class |
Conductor |
58905 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-930762322875 = -1 · 39 · 53 · 7 · 11 · 173 |
Discriminant |
Eigenvalues |
0 3+ 5+ 7- 11- -4 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,2052,-29572] |
[a1,a2,a3,a4,a6] |
Generators |
[114:401:8] |
Generators of the group modulo torsion |
j |
48547233792/47287625 |
j-invariant |
L |
3.5439999574963 |
L(r)(E,1)/r! |
Ω |
0.48160523441067 |
Real period |
R |
3.6793619588955 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000297 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58905n1 |
Quadratic twists by: -3 |