Atkin-Lehner |
2- 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
36848h |
Isogeny class |
Conductor |
36848 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
68544 |
Modular degree for the optimal curve |
Δ |
-8878346960896 = -1 · 215 · 78 · 47 |
Discriminant |
Eigenvalues |
2- 2 -3 7+ -3 -1 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,4688,-74304] |
[a1,a2,a3,a4,a6] |
Generators |
[216:3312:1] |
Generators of the group modulo torsion |
j |
482447/376 |
j-invariant |
L |
5.9134376555067 |
L(r)(E,1)/r! |
Ω |
0.40767926330791 |
Real period |
R |
3.6262806253153 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4606h1 36848o1 |
Quadratic twists by: -4 -7 |