Atkin-Lehner |
2+ 3+ 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
12480o |
Isogeny class |
Conductor |
12480 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
14038302720 = 215 · 3 · 5 · 134 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 0 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-865,8257] |
[a1,a2,a3,a4,a6] |
Generators |
[32:111:1] |
Generators of the group modulo torsion |
j |
2186875592/428415 |
j-invariant |
L |
4.2585990440444 |
L(r)(E,1)/r! |
Ω |
1.188549507864 |
Real period |
R |
3.5830220078065 |
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 |
12480bh3 6240ba3 37440bk4 62400ca4 |
Quadratic twists by: -4 8 -3 5 |