Atkin-Lehner |
2- 3+ 5- 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
61050bs |
Isogeny class |
Conductor |
61050 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
deg |
32832 |
Modular degree for the optimal curve |
Δ |
-390720000 = -1 · 29 · 3 · 54 · 11 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5- -3 11+ 6 -2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,112,881] |
[a1,a2,a3,a4,a6] |
Generators |
[5:-43:1] |
Generators of the group modulo torsion |
j |
248459375/625152 |
j-invariant |
L |
7.9092884474101 |
L(r)(E,1)/r! |
Ω |
1.1803925966191 |
Real period |
R |
0.24816879570725 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999529 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61050x1 |
Quadratic twists by: 5 |