Atkin-Lehner |
2+ 3+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
106134r |
Isogeny class |
Conductor |
106134 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-8915256 = -1 · 23 · 32 · 73 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7- 0 3 8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,31,141] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:11:1] |
Generators of the group modulo torsion |
j |
25289/72 |
j-invariant |
L |
3.6792368918679 |
L(r)(E,1)/r! |
Ω |
1.6268626870207 |
Real period |
R |
0.5653883566031 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000002102 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106134bj1 106134cn1 |
Quadratic twists by: -7 -19 |