Atkin-Lehner |
2- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
11200cl |
Isogeny class |
Conductor |
11200 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-439040000000 = -1 · 214 · 57 · 73 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- 3 -1 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-80533,8823437] |
[a1,a2,a3,a4,a6] |
Generators |
[172:175:1] |
Generators of the group modulo torsion |
j |
-225637236736/1715 |
j-invariant |
L |
3.9136384308134 |
L(r)(E,1)/r! |
Ω |
0.84324111769357 |
Real period |
R |
0.38676545659108 |
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 |
11200d2 2800t2 100800np2 2240p2 |
Quadratic twists by: -4 8 -3 5 |