Atkin-Lehner |
2- 3+ 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
110544by |
Isogeny class |
Conductor |
110544 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
19584 |
Modular degree for the optimal curve |
Δ |
56598528 = 213 · 3 · 72 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 0 -3 -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-128,-384] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:8:1] |
Generators of the group modulo torsion |
j |
1164625/282 |
j-invariant |
L |
4.5843813995396 |
L(r)(E,1)/r! |
Ω |
1.4434513330074 |
Real period |
R |
0.79399652716675 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000037892 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13818bg1 110544de1 |
Quadratic twists by: -4 -7 |