Atkin-Lehner |
2- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
118580x |
Isogeny class |
Conductor |
118580 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
54432 |
Modular degree for the optimal curve |
Δ |
-18221477120 = -1 · 28 · 5 · 76 · 112 |
Discriminant |
Eigenvalues |
2- -1 5- 7- 11- 2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,180,-6488] |
[a1,a2,a3,a4,a6] |
Generators |
[802641:485668:50653] |
Generators of the group modulo torsion |
j |
176/5 |
j-invariant |
L |
6.2902514523733 |
L(r)(E,1)/r! |
Ω |
0.59221065434528 |
Real period |
R |
10.621645165966 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000029273 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2420c1 118580z1 |
Quadratic twists by: -7 -11 |