Atkin-Lehner |
2+ 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
21280c |
Isogeny class |
Conductor |
21280 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
6469120000 = 212 · 54 · 7 · 192 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 0 0 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-23308,1369632] |
[a1,a2,a3,a4,a6] |
Generators |
[106:300:1] |
Generators of the group modulo torsion |
j |
341884012521024/1579375 |
j-invariant |
L |
4.4469684425174 |
L(r)(E,1)/r! |
Ω |
1.1802806140705 |
Real period |
R |
0.94193033197016 |
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 |
21280o2 42560bh1 106400bo2 |
Quadratic twists by: -4 8 5 |