Atkin-Lehner |
2- 3- 7+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
67536bl |
Isogeny class |
Conductor |
67536 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
691200 |
Modular degree for the optimal curve |
Δ |
-230689186951200768 = -1 · 222 · 36 · 75 · 672 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ -4 2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-52491,23567546] |
[a1,a2,a3,a4,a6] |
Generators |
[-329:2286:1] |
Generators of the group modulo torsion |
j |
-5356619222473/77257341952 |
j-invariant |
L |
4.7991870947283 |
L(r)(E,1)/r! |
Ω |
0.26558958101496 |
Real period |
R |
4.5174843423708 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995847 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8442e1 7504q1 |
Quadratic twists by: -4 -3 |