Atkin-Lehner |
2- 3+ 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
86592ce |
Isogeny class |
Conductor |
86592 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
67584 |
Modular degree for the optimal curve |
Δ |
2044956672 = 212 · 33 · 11 · 412 |
Discriminant |
Eigenvalues |
2- 3+ -4 2 11+ 6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-505,3961] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:41:1] |
Generators of the group modulo torsion |
j |
3484156096/499257 |
j-invariant |
L |
4.9931562840884 |
L(r)(E,1)/r! |
Ω |
1.412866092239 |
Real period |
R |
1.7670309709433 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999970448 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86592dt1 43296u1 |
Quadratic twists by: -4 8 |