Atkin-Lehner |
3+ 5+ 11+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
55275a |
Isogeny class |
Conductor |
55275 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
-7405429467046875 = -1 · 3 · 56 · 119 · 67 |
Discriminant |
Eigenvalues |
0 3+ 5+ 1 11+ -5 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-395933,-95849107] |
[a1,a2,a3,a4,a6] |
Generators |
[295024144256121362203:3910614051036525946233:363858245434077031] |
Generators of the group modulo torsion |
j |
-439308781656997888/473947485891 |
j-invariant |
L |
3.2376879622436 |
L(r)(E,1)/r! |
Ω |
0.095155949983734 |
Real period |
R |
34.025071083806 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2211f3 |
Quadratic twists by: 5 |