Atkin-Lehner |
2- 3+ 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
12480ca |
Isogeny class |
Conductor |
12480 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
201852518400 = 216 · 36 · 52 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 4 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1665,-14175] |
[a1,a2,a3,a4,a6] |
Generators |
[55:240:1] |
Generators of the group modulo torsion |
j |
7793764996/3080025 |
j-invariant |
L |
4.376583004975 |
L(r)(E,1)/r! |
Ω |
0.7731463119518 |
Real period |
R |
2.8303717791309 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
12480bg2 3120h2 37440dt2 62400gx2 |
Quadratic twists by: -4 8 -3 5 |