Atkin-Lehner |
3- 5- 19+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
52155g |
Isogeny class |
Conductor |
52155 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
14336 |
Modular degree for the optimal curve |
Δ |
80266545 = 36 · 5 · 192 · 61 |
Discriminant |
Eigenvalues |
1 3- 5- 4 -2 4 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-114,215] |
[a1,a2,a3,a4,a6] |
Generators |
[570:1955:27] |
Generators of the group modulo torsion |
j |
225866529/110105 |
j-invariant |
L |
9.2436846275127 |
L(r)(E,1)/r! |
Ω |
1.7126310509406 |
Real period |
R |
5.3973590064444 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5795a1 |
Quadratic twists by: -3 |