Atkin-Lehner |
2+ 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
26208p |
Isogeny class |
Conductor |
26208 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-5871695671296 = -1 · 212 · 38 · 75 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 1 7- 0 13+ 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,4488,-14128] |
[a1,a2,a3,a4,a6] |
Generators |
[136:1764:1] |
Generators of the group modulo torsion |
j |
3348071936/1966419 |
j-invariant |
L |
6.1434375704508 |
L(r)(E,1)/r! |
Ω |
0.44532504011322 |
Real period |
R |
0.68977005749428 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26208g1 52416gl1 8736r1 |
Quadratic twists by: -4 8 -3 |