Atkin-Lehner |
3+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
5775g |
Isogeny class |
Conductor |
5775 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
184800 |
Modular degree for the optimal curve |
Δ |
5223860319111328125 = 310 · 510 · 77 · 11 |
Discriminant |
Eigenvalues |
0 3+ 5+ 7- 11+ 1 -1 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-8593333,-9692467182] |
[a1,a2,a3,a4,a6] |
j |
7186354610687180800/534923296677 |
j-invariant |
L |
1.234494375287 |
L(r)(E,1)/r! |
Ω |
0.088178169663358 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92400gl1 17325bd1 5775w1 40425bx1 |
Quadratic twists by: -4 -3 5 -7 |