Atkin-Lehner |
3+ 5+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
56355b |
Isogeny class |
Conductor |
56355 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
669098843633025 = 38 · 52 · 132 · 176 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 0 -4 13- 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-33241,1959134] |
[a1,a2,a3,a4,a6] |
Generators |
[-187:1389:1] [-152:1954:1] |
Generators of the group modulo torsion |
j |
168288035761/27720225 |
j-invariant |
L |
4.9407467133094 |
L(r)(E,1)/r! |
Ω |
0.48784204269413 |
Real period |
R |
5.0638795766983 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
195a2 |
Quadratic twists by: 17 |