Atkin-Lehner |
2- 5- 7+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
86450bq |
Isogeny class |
Conductor |
86450 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
-5403125000 = -1 · 23 · 58 · 7 · 13 · 19 |
Discriminant |
Eigenvalues |
2- -1 5- 7+ -2 13- -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-13,3531] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:32:1] |
Generators of the group modulo torsion |
j |
-625/13832 |
j-invariant |
L |
6.4988902483586 |
L(r)(E,1)/r! |
Ω |
1.0838905210745 |
Real period |
R |
0.6662101956101 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005807 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86450j1 |
Quadratic twists by: 5 |