Atkin-Lehner |
2+ 3- 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
86592bn |
Isogeny class |
Conductor |
86592 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
278443345416192 = 212 · 37 · 11 · 414 |
Discriminant |
Eigenvalues |
2+ 3- 0 -2 11- 0 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-27593,-1580169] |
[a1,a2,a3,a4,a6] |
Generators |
[-119:180:1] [-110:369:1] |
Generators of the group modulo torsion |
j |
567252300952000/67979332377 |
j-invariant |
L |
12.696059833654 |
L(r)(E,1)/r! |
Ω |
0.37332704661989 |
Real period |
R |
1.2145669928024 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999963 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86592e1 43296b1 |
Quadratic twists by: -4 8 |