Atkin-Lehner |
2+ 3+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
1734c |
Isogeny class |
Conductor |
1734 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1160430948 = 22 · 310 · 173 |
Discriminant |
Eigenvalues |
2+ 3+ 2 2 0 -6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-20924,-1173732] |
[a1,a2,a3,a4,a6] |
Generators |
[254:3032:1] |
Generators of the group modulo torsion |
j |
206226044828441/236196 |
j-invariant |
L |
2.1671407506986 |
L(r)(E,1)/r! |
Ω |
0.3969499066413 |
Real period |
R |
2.729740849463 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13872bj3 55488bm3 5202k3 43350da3 |
Quadratic twists by: -4 8 -3 5 |