Atkin-Lehner |
2- 3- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
71136bc |
Isogeny class |
Conductor |
71136 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
-19913527296 = -1 · 212 · 39 · 13 · 19 |
Discriminant |
Eigenvalues |
2- 3- 1 -1 0 13+ -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-732,10208] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:108:1] [-2:108:1] |
Generators of the group modulo torsion |
j |
-14526784/6669 |
j-invariant |
L |
10.959962571933 |
L(r)(E,1)/r! |
Ω |
1.1372351112511 |
Real period |
R |
0.60233601123657 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999509 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71136g1 23712b1 |
Quadratic twists by: -4 -3 |