Atkin-Lehner |
3- 5+ 11+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
83325n |
Isogeny class |
Conductor |
83325 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
9.7617193358984E+22 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 11+ 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-52156251,144194101273] |
[a1,a2,a3,a4,a6] |
Generators |
[781:322001:1] |
Generators of the group modulo torsion |
j |
1004205912828059100420001/6247500374975000625 |
j-invariant |
L |
8.9238736405254 |
L(r)(E,1)/r! |
Ω |
0.10718080846909 |
Real period |
R |
5.203749723452 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001836 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
16665b3 |
Quadratic twists by: 5 |