Atkin-Lehner |
2+ 3- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
25536bl |
Isogeny class |
Conductor |
25536 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
5045096448 = 212 · 33 · 74 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 0 4 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-553,3479] |
[a1,a2,a3,a4,a6] |
Generators |
[35:-168:1] |
Generators of the group modulo torsion |
j |
4574296000/1231713 |
j-invariant |
L |
7.1515715062482 |
L(r)(E,1)/r! |
Ω |
1.2741268913601 |
Real period |
R |
0.46774328069567 |
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 |
25536g1 12768f1 76608ca1 |
Quadratic twists by: -4 8 -3 |