Atkin-Lehner |
2- 3+ 5+ 13+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
103350bd |
Isogeny class |
Conductor |
103350 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-620725138312500 = -1 · 22 · 38 · 56 · 134 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 0 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,21137,-185719] |
[a1,a2,a3,a4,a6] |
Generators |
[51:988:1] [33870:2188511:8] |
Generators of the group modulo torsion |
j |
66839384835287/39726408852 |
j-invariant |
L |
13.041136120043 |
L(r)(E,1)/r! |
Ω |
0.30035817168466 |
Real period |
R |
10.854654001474 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999995659 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4134e4 |
Quadratic twists by: 5 |