Atkin-Lehner |
2- 3+ 5+ 11- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
117150bk |
Isogeny class |
Conductor |
117150 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
deg |
5898240 |
Modular degree for the optimal curve |
Δ |
-2.45528340156E+21 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 11- 2 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2698588,2930590781] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:55017:1] |
Generators of the group modulo torsion |
j |
-139095618712978040569/157138137699840000 |
j-invariant |
L |
10.537121891548 |
L(r)(E,1)/r! |
Ω |
0.13141705959592 |
Real period |
R |
0.83521641873989 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000044939 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23430c1 |
Quadratic twists by: 5 |