Atkin-Lehner |
2+ 3- 19- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
117648f |
Isogeny class |
Conductor |
117648 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
131072 |
Modular degree for the optimal curve |
Δ |
-6818949021744 = -1 · 24 · 38 · 19 · 434 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 4 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5034,186235] |
[a1,a2,a3,a4,a6] |
Generators |
[3332310675:-17081239504:76765625] |
Generators of the group modulo torsion |
j |
-1209527744512/584614971 |
j-invariant |
L |
8.800668554402 |
L(r)(E,1)/r! |
Ω |
0.6980843984096 |
Real period |
R |
12.606883318989 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999964153 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58824h1 39216g1 |
Quadratic twists by: -4 -3 |