Atkin-Lehner |
2+ 3+ 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
12480o |
Isogeny class |
Conductor |
12480 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-21565440000 = -1 · 215 · 34 · 54 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 0 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,255,-6975] |
[a1,a2,a3,a4,a6] |
Generators |
[25:120:1] |
Generators of the group modulo torsion |
j |
55742968/658125 |
j-invariant |
L |
4.2585990440444 |
L(r)(E,1)/r! |
Ω |
0.59427475393201 |
Real period |
R |
0.89575550195163 |
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 |
12480bh4 6240ba4 37440bk3 62400ca3 |
Quadratic twists by: -4 8 -3 5 |