Atkin-Lehner |
2+ 3+ 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
5490b |
Isogeny class |
Conductor |
5490 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4032 |
Modular degree for the optimal curve |
Δ |
-1464808860 = -1 · 22 · 39 · 5 · 612 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 0 0 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1095,14345] |
[a1,a2,a3,a4,a6] |
Generators |
[16:19:1] |
Generators of the group modulo torsion |
j |
-7380705123/74420 |
j-invariant |
L |
2.307721173037 |
L(r)(E,1)/r! |
Ω |
1.519642335468 |
Real period |
R |
0.75929747387772 |
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 |
43920y1 5490o1 27450be1 |
Quadratic twists by: -4 -3 5 |