Atkin-Lehner |
2- 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
13680bg |
Isogeny class |
Conductor |
13680 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1364268096000000 = 212 · 310 · 56 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 4 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-55083,-4647782] |
[a1,a2,a3,a4,a6] |
j |
6189976379881/456890625 |
j-invariant |
L |
1.2523486633645 |
L(r)(E,1)/r! |
Ω |
0.31308716584113 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
855a2 54720er2 4560bd2 68400fr2 |
Quadratic twists by: -4 8 -3 5 |