Atkin-Lehner |
2+ 3- 5- 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
16770g |
Isogeny class |
Conductor |
16770 |
Conductor |
∏ cp |
280 |
Product of Tamagawa factors cp |
deg |
134400 |
Modular degree for the optimal curve |
Δ |
9933080625000000 = 26 · 37 · 510 · 132 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 -4 13+ 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-110293,13248608] |
[a1,a2,a3,a4,a6] |
Generators |
[-56:4415:1] |
Generators of the group modulo torsion |
j |
148375399462325710921/9933080625000000 |
j-invariant |
L |
4.6042507374971 |
L(r)(E,1)/r! |
Ω |
0.40026187855347 |
Real period |
R |
0.16432994012165 |
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 |
50310br1 83850bv1 |
Quadratic twists by: -3 5 |