Atkin-Lehner |
2- 3+ 11+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
112464p |
Isogeny class |
Conductor |
112464 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
202752 |
Modular degree for the optimal curve |
Δ |
-16119153819648 = -1 · 220 · 39 · 11 · 71 |
Discriminant |
Eigenvalues |
2- 3+ 0 4 11+ -2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,4725,147258] |
[a1,a2,a3,a4,a6] |
Generators |
[19588:352079:64] |
Generators of the group modulo torsion |
j |
144703125/199936 |
j-invariant |
L |
8.1197284971342 |
L(r)(E,1)/r! |
Ω |
0.47052919166123 |
Real period |
R |
8.6282941311438 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999645915 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14058e1 112464r1 |
Quadratic twists by: -4 -3 |