Atkin-Lehner |
3+ 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
5775m |
Isogeny class |
Conductor |
5775 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
292971900375 = 33 · 53 · 72 · 116 |
Discriminant |
Eigenvalues |
1 3+ 5- 7- 11+ -4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1690,5425] |
[a1,a2,a3,a4,a6] |
Generators |
[-40:125:1] |
Generators of the group modulo torsion |
j |
4274401176989/2343775203 |
j-invariant |
L |
3.9308615510857 |
L(r)(E,1)/r! |
Ω |
0.8460952348627 |
Real period |
R |
2.322942730982 |
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 |
92400ia2 17325bv2 5775x2 40425cy2 |
Quadratic twists by: -4 -3 5 -7 |