Atkin-Lehner |
2+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
54080b |
Isogeny class |
Conductor |
54080 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
-27688960 = -1 · 215 · 5 · 132 |
Discriminant |
Eigenvalues |
2+ 0 5+ 1 5 13+ 4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,52,208] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:5:1] |
Generators of the group modulo torsion |
j |
2808/5 |
j-invariant |
L |
6.4259221985955 |
L(r)(E,1)/r! |
Ω |
1.4451014411523 |
Real period |
R |
2.2233464086077 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000118 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54080c1 27040r1 54080bd1 |
Quadratic twists by: -4 8 13 |