Atkin-Lehner |
2+ 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
3520k |
Isogeny class |
Conductor |
3520 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
7496192000 = 212 · 53 · 114 |
Discriminant |
Eigenvalues |
2+ 2 5- 2 11+ 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-505,1497] |
[a1,a2,a3,a4,a6] |
j |
3484156096/1830125 |
j-invariant |
L |
3.4781607983889 |
L(r)(E,1)/r! |
Ω |
1.1593869327963 |
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 |
3520n2 1760i1 31680w2 17600i2 |
Quadratic twists by: -4 8 -3 5 |