Atkin-Lehner |
2- 3+ 11- 101- |
Signs for the Atkin-Lehner involutions |
Class |
53328l |
Isogeny class |
Conductor |
53328 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
43776 |
Modular degree for the optimal curve |
Δ |
78335845632 = 28 · 33 · 11 · 1013 |
Discriminant |
Eigenvalues |
2- 3+ 0 1 11- -4 -3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2453,45609] |
[a1,a2,a3,a4,a6] |
Generators |
[16:-101:1] [21:54:1] |
Generators of the group modulo torsion |
j |
6379012096000/305999397 |
j-invariant |
L |
8.6518786755762 |
L(r)(E,1)/r! |
Ω |
1.0729045044975 |
Real period |
R |
1.3439963885115 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13332c1 |
Quadratic twists by: -4 |