Atkin-Lehner |
2+ 3+ 5- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
127680bf |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-17871114240000 = -1 · 215 · 38 · 54 · 7 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ -4 6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2975,192577] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:375:1] |
Generators of the group modulo torsion |
j |
88835939128/545383125 |
j-invariant |
L |
5.7929308830089 |
L(r)(E,1)/r! |
Ω |
0.50011171797197 |
Real period |
R |
2.8958183922901 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000066627 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127680da3 63840bq2 |
Quadratic twists by: -4 8 |