Atkin-Lehner |
2+ 3+ 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
12480o |
Isogeny class |
Conductor |
12480 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
12480 = 26 · 3 · 5 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 0 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-260,-1530] |
[a1,a2,a3,a4,a6] |
Generators |
[27:102:1] |
Generators of the group modulo torsion |
j |
30488290624/195 |
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 |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12480bh1 6240ba2 37440bk1 62400ca1 |
Quadratic twists by: -4 8 -3 5 |