Atkin-Lehner |
2- 3- 5+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
17520r |
Isogeny class |
Conductor |
17520 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
56448 |
Modular degree for the optimal curve |
Δ |
-357536498688000 = -1 · 213 · 314 · 53 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 2 0 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-18136,1302164] |
[a1,a2,a3,a4,a6] |
Generators |
[62:648:1] |
Generators of the group modulo torsion |
j |
-161069099939929/87289184250 |
j-invariant |
L |
6.3842571760439 |
L(r)(E,1)/r! |
Ω |
0.50000938071846 |
Real period |
R |
0.22800490715903 |
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 |
2190a1 70080bq1 52560bd1 87600bp1 |
Quadratic twists by: -4 8 -3 5 |