Atkin-Lehner |
2- 3+ 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
118188f |
Isogeny class |
Conductor |
118188 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
-9927792 = -1 · 24 · 33 · 73 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 1 -5 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-105,441] |
[a1,a2,a3,a4,a6] |
Generators |
[7:7:1] [-3:27:1] |
Generators of the group modulo torsion |
j |
-864000/67 |
j-invariant |
L |
11.831263845799 |
L(r)(E,1)/r! |
Ω |
2.2496568612718 |
Real period |
R |
0.43826179496453 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999973765 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118188h1 118188e1 |
Quadratic twists by: -3 -7 |