Atkin-Lehner |
2+ 5+ 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
21080c |
Isogeny class |
Conductor |
21080 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
413952 |
Modular degree for the optimal curve |
Δ |
59867448305536000 = 210 · 53 · 17 · 317 |
Discriminant |
Eigenvalues |
2+ 3 5+ 4 -4 -3 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-420883,104435582] |
[a1,a2,a3,a4,a6] |
j |
8052076803233381796/58464304985875 |
j-invariant |
L |
4.9419001979127 |
L(r)(E,1)/r! |
Ω |
0.35299287127948 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42160d1 105400t1 |
Quadratic twists by: -4 5 |