Atkin-Lehner |
2- 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
86640dh |
Isogeny class |
Conductor |
86640 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
62208 |
Modular degree for the optimal curve |
Δ |
-3992371200 = -1 · 214 · 33 · 52 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 -6 -5 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-576,5940] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:-96:1] [12:-30:1] |
Generators of the group modulo torsion |
j |
-14317849/2700 |
j-invariant |
L |
12.050149085942 |
L(r)(E,1)/r! |
Ω |
1.3358405142188 |
Real period |
R |
0.3758603964345 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10830t1 86640bm1 |
Quadratic twists by: -4 -19 |