Atkin-Lehner |
2+ 5+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
38870b |
Isogeny class |
Conductor |
38870 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
115457271280 = 24 · 5 · 137 · 23 |
Discriminant |
Eigenvalues |
2+ 1 5+ 3 2 13+ -5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3384,73686] |
[a1,a2,a3,a4,a6] |
Generators |
[-51:363:1] |
Generators of the group modulo torsion |
j |
887503681/23920 |
j-invariant |
L |
5.0606799122143 |
L(r)(E,1)/r! |
Ω |
1.0479117313804 |
Real period |
R |
0.6036624746945 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2990f1 |
Quadratic twists by: 13 |