Atkin-Lehner |
2- 3- 13+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
71994bv |
Isogeny class |
Conductor |
71994 |
Conductor |
∏ cp |
540 |
Product of Tamagawa factors cp |
deg |
3317760 |
Modular degree for the optimal curve |
Δ |
-2517718924693080576 = -1 · 29 · 315 · 136 · 71 |
Discriminant |
Eigenvalues |
2- 3- -3 1 -3 13+ -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3888102,2951564004] |
[a1,a2,a3,a4,a6] |
Generators |
[-18114:106401:8] [924:-12630:1] |
Generators of the group modulo torsion |
j |
-1346717656727992297/521611467264 |
j-invariant |
L |
15.521896599701 |
L(r)(E,1)/r! |
Ω |
0.25263183680864 |
Real period |
R |
0.11377921850826 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
426c1 |
Quadratic twists by: 13 |