Atkin-Lehner |
2+ 3- 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
106560cw |
Isogeny class |
Conductor |
106560 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
43156800 = 26 · 36 · 52 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5- -3 -5 -4 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-192,-974] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:5:1] |
Generators of the group modulo torsion |
j |
16777216/925 |
j-invariant |
L |
5.5050522401197 |
L(r)(E,1)/r! |
Ω |
1.2869564913997 |
Real period |
R |
2.1387872517521 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999371288 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106560fu1 1665d1 11840a1 |
Quadratic twists by: -4 8 -3 |