Atkin-Lehner |
2+ 3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
12480bd |
Isogeny class |
Conductor |
12480 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
63795363840 = 223 · 32 · 5 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 -4 13- 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-54561,-4923585] |
[a1,a2,a3,a4,a6] |
Generators |
[3011:164736:1] |
Generators of the group modulo torsion |
j |
68523370149961/243360 |
j-invariant |
L |
4.7801084290393 |
L(r)(E,1)/r! |
Ω |
0.31237653520899 |
Real period |
R |
3.8255981886101 |
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 |
12480bv2 390f2 37440ct2 62400j2 |
Quadratic twists by: -4 8 -3 5 |