Atkin-Lehner |
2- 3+ 19- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
42864b |
Isogeny class |
Conductor |
42864 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
1876414464 = 212 · 33 · 192 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 1 3 -3 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-565,-4547] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:19:1] |
Generators of the group modulo torsion |
j |
4878401536/458109 |
j-invariant |
L |
5.4724734635658 |
L(r)(E,1)/r! |
Ω |
0.98498672334102 |
Real period |
R |
2.7779427549029 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2679d1 128592m1 |
Quadratic twists by: -4 -3 |