Atkin-Lehner |
3+ 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
55473a |
Isogeny class |
Conductor |
55473 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-3105171685718084169 = -1 · 32 · 116 · 417 |
Discriminant |
Eigenvalues |
1 3+ 2 -4 11+ 0 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,227741,73837570] |
[a1,a2,a3,a4,a6] |
Generators |
[-227010:3354473:1000] |
Generators of the group modulo torsion |
j |
275005425527/653706009 |
j-invariant |
L |
4.5362151441443 |
L(r)(E,1)/r! |
Ω |
0.17611666741387 |
Real period |
R |
6.4392189715205 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000209 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1353d2 |
Quadratic twists by: 41 |