Atkin-Lehner |
2+ 3+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
1734b |
Isogeny class |
Conductor |
1734 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
19144761127488 = 26 · 36 · 177 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -2 0 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-73845,7690221] |
[a1,a2,a3,a4,a6] |
Generators |
[-135:3969:1] |
Generators of the group modulo torsion |
j |
1845026709625/793152 |
j-invariant |
L |
1.8045805560692 |
L(r)(E,1)/r! |
Ω |
0.6757200123787 |
Real period |
R |
1.3353019912172 |
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 |
13872be1 55488bc1 5202h1 43350cy1 |
Quadratic twists by: -4 8 -3 5 |