Atkin-Lehner |
2- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
123200fi |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-73045280000000000 = -1 · 214 · 510 · 73 · 113 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- 11+ 2 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,69167,-10980463] |
[a1,a2,a3,a4,a6] |
Generators |
[1543:61376:1] |
Generators of the group modulo torsion |
j |
228714800/456533 |
j-invariant |
L |
5.8828106530057 |
L(r)(E,1)/r! |
Ω |
0.18010080258219 |
Real period |
R |
5.4439981020557 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000150249 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123200q2 30800br2 123200gs2 |
Quadratic twists by: -4 8 5 |