Atkin-Lehner |
2- 3- 5+ 17- 43- |
Signs for the Atkin-Lehner involutions |
Class |
109650dc |
Isogeny class |
Conductor |
109650 |
Conductor |
∏ cp |
180 |
Product of Tamagawa factors cp |
deg |
933120 |
Modular degree for the optimal curve |
Δ |
-230212368000000 = -1 · 210 · 39 · 56 · 17 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 2 1 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-283763,58162017] |
[a1,a2,a3,a4,a6] |
Generators |
[322:-611:1] |
Generators of the group modulo torsion |
j |
-161722736941515625/14733591552 |
j-invariant |
L |
14.155084729972 |
L(r)(E,1)/r! |
Ω |
0.53369981734171 |
Real period |
R |
0.14734754806356 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015728 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4386a1 |
Quadratic twists by: 5 |