Atkin-Lehner |
2- 5+ 31- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
101680o |
Isogeny class |
Conductor |
101680 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
13903648363520000 = 213 · 54 · 312 · 414 |
Discriminant |
Eigenvalues |
2- 2 5+ 0 -2 -4 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-89296,-8531904] |
[a1,a2,a3,a4,a6] |
Generators |
[-192:1224:1] |
Generators of the group modulo torsion |
j |
19224924512716369/3394445401250 |
j-invariant |
L |
8.839827002154 |
L(r)(E,1)/r! |
Ω |
0.27952121663978 |
Real period |
R |
3.9531109307218 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999855369 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12710l2 |
Quadratic twists by: -4 |