Atkin-Lehner |
2- 3- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
109200gk |
Isogeny class |
Conductor |
109200 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
Δ |
9.478781676E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9664408,-11557808812] |
[a1,a2,a3,a4,a6] |
Generators |
[-1756:1134:1] |
Generators of the group modulo torsion |
j |
1559802282754777489/1481059636875 |
j-invariant |
L |
9.7853826953448 |
L(r)(E,1)/r! |
Ω |
0.085630897123443 |
Real period |
R |
1.5871384919889 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004616 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6825b3 21840ba4 |
Quadratic twists by: -4 5 |