Atkin-Lehner |
2- 7- 17- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
118286t |
Isogeny class |
Conductor |
118286 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
236544 |
Modular degree for the optimal curve |
Δ |
16285964713984 = 214 · 77 · 17 · 71 |
Discriminant |
Eigenvalues |
2- 0 -2 7- 0 -2 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-10716,-377569] |
[a1,a2,a3,a4,a6] |
Generators |
[-59:245:1] [-43:69:1] |
Generators of the group modulo torsion |
j |
1156633033473/138428416 |
j-invariant |
L |
15.087420212004 |
L(r)(E,1)/r! |
Ω |
0.47291232395692 |
Real period |
R |
4.5576011357688 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999990112 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16898j1 |
Quadratic twists by: -7 |