Atkin-Lehner |
2- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
28322bd |
Isogeny class |
Conductor |
28322 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
-246514688 = -1 · 210 · 72 · 173 |
Discriminant |
Eigenvalues |
2- -3 0 7- 3 -5 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-930,11169] |
[a1,a2,a3,a4,a6] |
Generators |
[13:27:1] |
Generators of the group modulo torsion |
j |
-369140625/1024 |
j-invariant |
L |
4.9895897157579 |
L(r)(E,1)/r! |
Ω |
1.760681655308 |
Real period |
R |
0.14169482883847 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28322o1 28322bc1 |
Quadratic twists by: -7 17 |