Atkin-Lehner |
3+ 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
5775d |
Isogeny class |
Conductor |
5775 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2527873154296875 = 34 · 510 · 74 · 113 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7+ 11+ -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-14375438,20972766656] |
[a1,a2,a3,a4,a6] |
Generators |
[2190:-983:1] |
Generators of the group modulo torsion |
j |
21026497979043461623321/161783881875 |
j-invariant |
L |
1.7817210601578 |
L(r)(E,1)/r! |
Ω |
0.31578676125366 |
Real period |
R |
1.4105412882767 |
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 |
92400hp4 17325r3 1155l3 40425ck4 |
Quadratic twists by: -4 -3 5 -7 |