Atkin-Lehner |
2+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
11200b |
Isogeny class |
Conductor |
11200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-6146560000000 = -1 · 215 · 57 · 74 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ -4 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,3700,82000] |
[a1,a2,a3,a4,a6] |
Generators |
[205:3075:1] |
Generators of the group modulo torsion |
j |
10941048/12005 |
j-invariant |
L |
3.8936973019141 |
L(r)(E,1)/r! |
Ω |
0.5012732237489 |
Real period |
R |
3.8838073903031 |
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 |
11200o4 5600k4 100800dx3 2240k4 |
Quadratic twists by: -4 8 -3 5 |