Atkin-Lehner |
2- 3- 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
17028o |
Isogeny class |
Conductor |
17028 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
44352 |
Modular degree for the optimal curve |
Δ |
9773829589392 = 24 · 36 · 117 · 43 |
Discriminant |
Eigenvalues |
2- 3- -4 -3 11- -2 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13737,-601175] |
[a1,a2,a3,a4,a6] |
Generators |
[-72:121:1] [-61:99:1] |
Generators of the group modulo torsion |
j |
24578303113984/837948353 |
j-invariant |
L |
5.5174821646221 |
L(r)(E,1)/r! |
Ω |
0.44191097095844 |
Real period |
R |
0.29727395697429 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68112by1 1892a1 |
Quadratic twists by: -4 -3 |