Atkin-Lehner |
2- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
11200cp |
Isogeny class |
Conductor |
11200 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
-8780800 = -1 · 210 · 52 · 73 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- 3 -4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-393,3137] |
[a1,a2,a3,a4,a6] |
Generators |
[8:21:1] |
Generators of the group modulo torsion |
j |
-262885120/343 |
j-invariant |
L |
6.6347133304508 |
L(r)(E,1)/r! |
Ω |
2.3117975322767 |
Real period |
R |
0.95664567475003 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11200k2 2800w2 100800nr2 11200cz2 |
Quadratic twists by: -4 8 -3 5 |