Atkin-Lehner |
3+ 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
5775m |
Isogeny class |
Conductor |
5775 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2880 |
Modular degree for the optimal curve |
Δ |
849011625 = 36 · 53 · 7 · 113 |
Discriminant |
Eigenvalues |
1 3+ 5- 7- 11+ -4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1015,-12800] |
[a1,a2,a3,a4,a6] |
Generators |
[2270:36935:8] |
Generators of the group modulo torsion |
j |
926574216749/6792093 |
j-invariant |
L |
3.9308615510857 |
L(r)(E,1)/r! |
Ω |
0.8460952348627 |
Real period |
R |
4.6458854619641 |
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 |
92400ia1 17325bv1 5775x1 40425cy1 |
Quadratic twists by: -4 -3 5 -7 |