Atkin-Lehner |
3+ 5+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
3705a |
Isogeny class |
Conductor |
3705 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
563795892333984375 = 39 · 514 · 13 · 192 |
Discriminant |
Eigenvalues |
1 3+ 5+ -4 0 13+ -8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1333763,591222018] |
[a1,a2,a3,a4,a6] |
j |
262397816785994937419449/563795892333984375 |
j-invariant |
L |
0.29180041834335 |
L(r)(E,1)/r! |
Ω |
0.29180041834335 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59280br2 11115h2 18525q2 48165i2 |
Quadratic twists by: -4 -3 5 13 |