Atkin-Lehner |
2- 3- 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
12480df |
Isogeny class |
Conductor |
12480 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
Δ |
12615782400000 = 215 · 36 · 55 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 0 13- 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-132865,18595775] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:4680:1] |
Generators of the group modulo torsion |
j |
7916055336451592/385003125 |
j-invariant |
L |
5.6836813689533 |
L(r)(E,1)/r! |
Ω |
0.67016386765439 |
Real period |
R |
0.1413505373655 |
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 |
12480cg2 6240v2 37440ek2 62400ef2 |
Quadratic twists by: -4 8 -3 5 |