Atkin-Lehner |
2+ 3+ 5+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
12720a |
Isogeny class |
Conductor |
12720 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-727186728960 = -1 · 211 · 32 · 5 · 534 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,984,-39600] |
[a1,a2,a3,a4,a6] |
Generators |
[74:658:1] |
Generators of the group modulo torsion |
j |
51396982702/355071645 |
j-invariant |
L |
3.4969200018276 |
L(r)(E,1)/r! |
Ω |
0.44936176856363 |
Real period |
R |
3.8909852222247 |
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 |
6360d4 50880ea3 38160l3 63600q3 |
Quadratic twists by: -4 8 -3 5 |