Atkin-Lehner |
2+ 3+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
1734c |
Isogeny class |
Conductor |
1734 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
34261143524226 = 2 · 320 · 173 |
Discriminant |
Eigenvalues |
2+ 3+ 2 2 0 -6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-21094,-1153910] |
[a1,a2,a3,a4,a6] |
Generators |
[885:25525:1] |
Generators of the group modulo torsion |
j |
211293405175481/6973568802 |
j-invariant |
L |
2.1671407506986 |
L(r)(E,1)/r! |
Ω |
0.3969499066413 |
Real period |
R |
5.4594816989261 |
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 |
13872bj4 55488bm4 5202k4 43350da4 |
Quadratic twists by: -4 8 -3 5 |