Atkin-Lehner |
2+ 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
12480bg |
Isogeny class |
Conductor |
12480 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
-3594240000 = -1 · 214 · 33 · 54 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 -4 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,335,1775] |
[a1,a2,a3,a4,a6] |
Generators |
[5:60:1] |
Generators of the group modulo torsion |
j |
253012016/219375 |
j-invariant |
L |
5.8422785381304 |
L(r)(E,1)/r! |
Ω |
0.91234959135077 |
Real period |
R |
0.53362937788287 |
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 |
12480ca1 1560a1 37440bd1 62400y1 |
Quadratic twists by: -4 8 -3 5 |