Atkin-Lehner |
2- 3+ 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
12480ci |
Isogeny class |
Conductor |
12480 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2396160000 = 215 · 32 · 54 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 -4 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5025,-135423] |
[a1,a2,a3,a4,a6] |
j |
428320044872/73125 |
j-invariant |
L |
2.2681552446572 |
L(r)(E,1)/r! |
Ω |
0.56703881116429 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12480dh4 6240k2 37440ep4 62400gu4 |
Quadratic twists by: -4 8 -3 5 |