Atkin-Lehner |
2- 3- 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
126150cr |
Isogeny class |
Conductor |
126150 |
Conductor |
∏ cp |
196 |
Product of Tamagawa factors cp |
deg |
3292800 |
Modular degree for the optimal curve |
Δ |
-7.5450958975566E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 2 0 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-21463,417917417] |
[a1,a2,a3,a4,a6] |
Generators |
[476:-22945:1] |
Generators of the group modulo torsion |
j |
-117649/8118144 |
j-invariant |
L |
14.158257448404 |
L(r)(E,1)/r! |
Ω |
0.15444831216864 |
Real period |
R |
0.46770344145679 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000003618 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5046a1 4350d1 |
Quadratic twists by: 5 29 |