Atkin-Lehner |
3- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
5985j |
Isogeny class |
Conductor |
5985 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-6500034164866725 = -1 · 37 · 52 · 7 · 198 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 4 -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,765,3878766] |
[a1,a2,a3,a4,a6] |
Generators |
[110:15727:8] |
Generators of the group modulo torsion |
j |
67867385039/8916370596525 |
j-invariant |
L |
4.621123987666 |
L(r)(E,1)/r! |
Ω |
0.33452229099744 |
Real period |
R |
6.9070494134893 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
95760dj5 1995h6 29925r5 41895bt5 |
Quadratic twists by: -4 -3 5 -7 |