Atkin-Lehner |
2- 3- 5- 53- |
Signs for the Atkin-Lehner involutions |
Class |
12720bj |
Isogeny class |
Conductor |
12720 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
45578059776000 = 220 · 38 · 53 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 -4 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-14488960,-21232578892] |
[a1,a2,a3,a4,a6] |
Generators |
[10346:967680:1] |
Generators of the group modulo torsion |
j |
82125009821717833875841/11127456000 |
j-invariant |
L |
6.5586876884237 |
L(r)(E,1)/r! |
Ω |
0.077382053203994 |
Real period |
R |
3.5315508230818 |
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 |
1590q1 50880cd1 38160bj1 63600bp1 |
Quadratic twists by: -4 8 -3 5 |