Atkin-Lehner |
2- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
123200hq |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
Δ |
-1.93857585152E+19 |
Discriminant |
Eigenvalues |
2- 1 5- 7- 11- -6 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-84833,-212077537] |
[a1,a2,a3,a4,a6] |
Generators |
[983:25600:1] |
Generators of the group modulo torsion |
j |
-659361145/189314048 |
j-invariant |
L |
7.4968881539359 |
L(r)(E,1)/r! |
Ω |
0.097035914420002 |
Real period |
R |
1.2876483432572 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000116814 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123200cn2 30800cs2 123200eo1 |
Quadratic twists by: -4 8 5 |