Atkin-Lehner |
2- 5+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
32300f |
Isogeny class |
Conductor |
32300 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
Δ |
-8.5713919722547E+20 |
Discriminant |
Eigenvalues |
2- -1 5+ -2 0 4 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-568333,1418397662] |
[a1,a2,a3,a4,a6] |
Generators |
[2573:130321:1] |
Generators of the group modulo torsion |
j |
-129931087052800/5485690862243 |
j-invariant |
L |
3.9010499141493 |
L(r)(E,1)/r! |
Ω |
0.13143673023129 |
Real period |
R |
1.0992614461682 |
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 |
129200bi2 32300v2 |
Quadratic twists by: -4 5 |