Atkin-Lehner |
2+ 3+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
1734a |
Isogeny class |
Conductor |
1734 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-227278848 = -1 · 218 · 3 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 0 1 0 -1 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-235,-1667] |
[a1,a2,a3,a4,a6] |
Generators |
[102:973:1] |
Generators of the group modulo torsion |
j |
-4999353625/786432 |
j-invariant |
L |
1.9267049253424 |
L(r)(E,1)/r! |
Ω |
0.60411461209726 |
Real period |
R |
1.5946518150369 |
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 |
13872bd2 55488y2 5202g2 43350cv2 |
Quadratic twists by: -4 8 -3 5 |