Atkin-Lehner |
2+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
1760f |
Isogeny class |
Conductor |
1760 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-37480960 = -1 · 29 · 5 · 114 |
Discriminant |
Eigenvalues |
2+ 0 5- 0 11- -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,13,294] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:111:8] |
Generators of the group modulo torsion |
j |
474552/73205 |
j-invariant |
L |
2.9697458586054 |
L(r)(E,1)/r! |
Ω |
1.5817437804775 |
Real period |
R |
3.7550277045615 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
1760j4 3520a4 15840s4 8800u4 |
Quadratic twists by: -4 8 -3 5 |