Atkin-Lehner |
2+ 3+ 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
12480n |
Isogeny class |
Conductor |
12480 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
239616000 = 214 · 32 · 53 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 0 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-19505,1055025] |
[a1,a2,a3,a4,a6] |
Generators |
[65:240:1] |
Generators of the group modulo torsion |
j |
50091484483024/14625 |
j-invariant |
L |
4.3756574770999 |
L(r)(E,1)/r! |
Ω |
1.4115706210771 |
Real period |
R |
0.51664170059507 |
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 |
12480db1 1560c1 37440bi1 62400bz1 |
Quadratic twists by: -4 8 -3 5 |