Atkin-Lehner |
3+ 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
5775c |
Isogeny class |
Conductor |
5775 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-3611557751484375 = -1 · 36 · 57 · 78 · 11 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7+ 11+ 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,875,-2891000] |
[a1,a2,a3,a4,a6] |
Generators |
[8980:4285:64] |
Generators of the group modulo torsion |
j |
4733169839/231139696095 |
j-invariant |
L |
3.7730231749349 |
L(r)(E,1)/r! |
Ω |
0.20437513897374 |
Real period |
R |
4.6153157300356 |
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 |
92400hd1 17325s1 1155m1 40425cg1 |
Quadratic twists by: -4 -3 5 -7 |