Atkin-Lehner |
2+ 3- 5+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
31350t |
Isogeny class |
Conductor |
31350 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
32768 |
Modular degree for the optimal curve |
Δ |
27588000000 = 28 · 3 · 56 · 112 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11- 2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3726,86848] |
[a1,a2,a3,a4,a6] |
Generators |
[46:92:1] |
Generators of the group modulo torsion |
j |
365986170577/1765632 |
j-invariant |
L |
5.4977242370953 |
L(r)(E,1)/r! |
Ω |
1.1906059855398 |
Real period |
R |
2.3087924568944 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
94050cp1 1254h1 |
Quadratic twists by: -3 5 |