Atkin-Lehner |
2- 3- 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
86592db |
Isogeny class |
Conductor |
86592 |
Conductor |
∏ cp |
100 |
Product of Tamagawa factors cp |
deg |
1843200 |
Modular degree for the optimal curve |
Δ |
-308236783375724544 = -1 · 212 · 310 · 11 · 415 |
Discriminant |
Eigenvalues |
2- 3- -1 -1 11+ 2 -5 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4406601,3559072023] |
[a1,a2,a3,a4,a6] |
Generators |
[-2127:57564:1] [1194:-1107:1] |
Generators of the group modulo torsion |
j |
-2310335485704371030464/75253120941339 |
j-invariant |
L |
12.268417671876 |
L(r)(E,1)/r! |
Ω |
0.28590764038799 |
Real period |
R |
0.42910422596173 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999472 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86592cn1 43296j1 |
Quadratic twists by: -4 8 |