Atkin-Lehner |
2- 3+ 5- 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
127920bi |
Isogeny class |
Conductor |
127920 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
112849591296000 = 213 · 3 · 53 · 13 · 414 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 -4 13+ -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-832560,-292118208] |
[a1,a2,a3,a4,a6] |
Generators |
[-526:10:1] |
Generators of the group modulo torsion |
j |
15581559070736472241/27551169750 |
j-invariant |
L |
3.6929743835766 |
L(r)(E,1)/r! |
Ω |
0.15805042641688 |
Real period |
R |
1.947149908007 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999998965381 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15990v4 |
Quadratic twists by: -4 |