Atkin-Lehner |
2- 3+ 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
20280q |
Isogeny class |
Conductor |
20280 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
49920 |
Modular degree for the optimal curve |
Δ |
38176197742800 = 24 · 32 · 52 · 139 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 0 13- 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-16111,-723464] |
[a1,a2,a3,a4,a6] |
Generators |
[-59:135:1] |
Generators of the group modulo torsion |
j |
2725888/225 |
j-invariant |
L |
4.6063638356435 |
L(r)(E,1)/r! |
Ω |
0.42598043905999 |
Real period |
R |
2.70338929518 |
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 |
40560w1 60840bb1 101400bo1 20280i1 |
Quadratic twists by: -4 -3 5 13 |