Atkin-Lehner |
2+ 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
12480bg |
Isogeny class |
Conductor |
12480 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
505378897920 = 217 · 33 · 5 · 134 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 -4 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-23265,1357695] |
[a1,a2,a3,a4,a6] |
Generators |
[93:84:1] |
Generators of the group modulo torsion |
j |
10625310339698/3855735 |
j-invariant |
L |
5.8422785381304 |
L(r)(E,1)/r! |
Ω |
0.91234959135077 |
Real period |
R |
2.1345175115315 |
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 |
12480ca3 1560a4 37440bd4 62400y4 |
Quadratic twists by: -4 8 -3 5 |