Atkin-Lehner |
2+ 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
13680l |
Isogeny class |
Conductor |
13680 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
60634137600 = 210 · 38 · 52 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1443,17458] |
[a1,a2,a3,a4,a6] |
Generators |
[-31:180:1] |
Generators of the group modulo torsion |
j |
445138564/81225 |
j-invariant |
L |
4.6868694355001 |
L(r)(E,1)/r! |
Ω |
1.0553232238609 |
Real period |
R |
1.1102924036754 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6840m2 54720ei2 4560j2 68400bw2 |
Quadratic twists by: -4 8 -3 5 |