Atkin-Lehner |
2+ 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
32800a |
Isogeny class |
Conductor |
32800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-537920000000 = -1 · 212 · 57 · 412 |
Discriminant |
Eigenvalues |
2+ 0 5+ -4 -2 -4 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-700,-36000] |
[a1,a2,a3,a4,a6] |
Generators |
[104:1008:1] |
Generators of the group modulo torsion |
j |
-592704/8405 |
j-invariant |
L |
3.2856106780678 |
L(r)(E,1)/r! |
Ω |
0.39574886134299 |
Real period |
R |
4.1511309305069 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32800h2 65600d1 6560h2 |
Quadratic twists by: -4 8 5 |