Atkin-Lehner |
2- 3+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
25536cd |
Isogeny class |
Conductor |
25536 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
11714691072 = 222 · 3 · 72 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 2 4 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-673,-4031] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:20:1] |
Generators of the group modulo torsion |
j |
128787625/44688 |
j-invariant |
L |
5.0503019767157 |
L(r)(E,1)/r! |
Ω |
0.96381058064772 |
Real period |
R |
2.6199660379956 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25536bi1 6384bg1 76608et1 |
Quadratic twists by: -4 8 -3 |