Atkin-Lehner |
2- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
40768cg |
Isogeny class |
Conductor |
40768 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
168600044913664 = 210 · 78 · 134 |
Discriminant |
Eigenvalues |
2- -1 -3 7+ -1 13- -5 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-14177,183289] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:-637:1] |
Generators of the group modulo torsion |
j |
53385472/28561 |
j-invariant |
L |
2.1796750550734 |
L(r)(E,1)/r! |
Ω |
0.50112594009496 |
Real period |
R |
0.36246295270359 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999781 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40768h1 10192a1 40768cp1 |
Quadratic twists by: -4 8 -7 |