Atkin-Lehner |
2+ 3+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
14520n |
Isogeny class |
Conductor |
14520 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
18674945712720 = 24 · 32 · 5 · 1110 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 11- -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6695,37380] |
[a1,a2,a3,a4,a6] |
Generators |
[-73:363:1] |
Generators of the group modulo torsion |
j |
1171019776/658845 |
j-invariant |
L |
3.4770465101707 |
L(r)(E,1)/r! |
Ω |
0.59374452160727 |
Real period |
R |
1.4640330915216 |
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 |
29040bp1 116160ds1 43560cb1 72600ed1 |
Quadratic twists by: -4 8 -3 5 |