Atkin-Lehner |
2+ 3- 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
106560cc |
Isogeny class |
Conductor |
106560 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
2257920 |
Modular degree for the optimal curve |
Δ |
-1.2941246631168E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 -1 -4 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1112532,309134608] |
[a1,a2,a3,a4,a6] |
Generators |
[-139:12321:1] |
Generators of the group modulo torsion |
j |
6375052761771448/5417496640625 |
j-invariant |
L |
3.944196264064 |
L(r)(E,1)/r! |
Ω |
0.12010027657045 |
Real period |
R |
1.6420429578744 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999909705 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106560bz1 53280s1 11840u1 |
Quadratic twists by: -4 8 -3 |