Atkin-Lehner |
2- 3+ 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
86592ck |
Isogeny class |
Conductor |
86592 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-3006729787539456 = -1 · 218 · 32 · 11 · 415 |
Discriminant |
Eigenvalues |
2- 3+ -3 1 11- 2 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-737,-2637951] |
[a1,a2,a3,a4,a6] |
Generators |
[1067:34788:1] |
Generators of the group modulo torsion |
j |
-169112377/11469763899 |
j-invariant |
L |
4.7821298198326 |
L(r)(E,1)/r! |
Ω |
0.20579029347194 |
Real period |
R |
5.8094696137396 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999985198 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86592bd1 21648bc1 |
Quadratic twists by: -4 8 |