Atkin-Lehner |
2- 3- 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
106560fw |
Isogeny class |
Conductor |
106560 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-441925632000 = -1 · 217 · 36 · 53 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 -3 0 -5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12,-31984] |
[a1,a2,a3,a4,a6] |
Generators |
[82:-720:1] [37:135:1] |
Generators of the group modulo torsion |
j |
-2/4625 |
j-invariant |
L |
11.112107225782 |
L(r)(E,1)/r! |
Ω |
0.43053893532925 |
Real period |
R |
1.0754067281753 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999988426 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106560cu1 26640k1 11840y1 |
Quadratic twists by: -4 8 -3 |