Atkin-Lehner |
2- 3+ 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
12480bz |
Isogeny class |
Conductor |
12480 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
8985600000000 = 216 · 33 · 58 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 0 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-30785,-2063775] |
[a1,a2,a3,a4,a6] |
Generators |
[295:3800:1] |
Generators of the group modulo torsion |
j |
49235161015876/137109375 |
j-invariant |
L |
4.1439797868064 |
L(r)(E,1)/r! |
Ω |
0.36048424025641 |
Real period |
R |
2.873898026623 |
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 |
12480bf4 3120g3 37440dq4 62400gv4 |
Quadratic twists by: -4 8 -3 5 |