Atkin-Lehner |
13+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
1313a |
Isogeny class |
Conductor |
1313 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
88 |
Modular degree for the optimal curve |
Δ |
-1313 = -1 · 13 · 101 |
Discriminant |
Eigenvalues |
1 -3 -2 2 4 13+ 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,2,1] |
[a1,a2,a3,a4,a6] |
Generators |
[0:1:1] |
Generators of the group modulo torsion |
j |
658503/1313 |
j-invariant |
L |
1.9847408079224 |
L(r)(E,1)/r! |
Ω |
3.3341872424281 |
Real period |
R |
0.59526975050057 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21008g1 84032p1 11817a1 32825f1 |
Quadratic twists by: -4 8 -3 5 |