Atkin-Lehner |
3+ 5+ 11+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
55275b |
Isogeny class |
Conductor |
55275 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
85503515625 = 33 · 58 · 112 · 67 |
Discriminant |
Eigenvalues |
1 3+ 5+ 2 11+ -6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1400,13875] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:183:1] |
Generators of the group modulo torsion |
j |
19443408769/5472225 |
j-invariant |
L |
5.3294228749995 |
L(r)(E,1)/r! |
Ω |
1.0038864895493 |
Real period |
R |
2.6543951584159 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000154 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11055f1 |
Quadratic twists by: 5 |