Atkin-Lehner |
2+ 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
12480a |
Isogeny class |
Conductor |
12480 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
7266690662400 = 218 · 38 · 52 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -4 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7361,208065] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:567:1] |
Generators of the group modulo torsion |
j |
168288035761/27720225 |
j-invariant |
L |
3.4058133531174 |
L(r)(E,1)/r! |
Ω |
0.71114587080813 |
Real period |
R |
2.3945954641114 |
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 |
12480cj2 195a2 37440ca2 62400cs2 |
Quadratic twists by: -4 8 -3 5 |