Atkin-Lehner |
2- 3+ 7- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
85932l |
Isogeny class |
Conductor |
85932 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
38016 |
Modular degree for the optimal curve |
Δ |
-1566368496 = -1 · 24 · 33 · 73 · 11 · 312 |
Discriminant |
Eigenvalues |
2- 3+ -3 7- 11+ -5 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,51,-1899] |
[a1,a2,a3,a4,a6] |
Generators |
[12:21:1] [13:31:1] |
Generators of the group modulo torsion |
j |
33958656/3625853 |
j-invariant |
L |
9.1844331463333 |
L(r)(E,1)/r! |
Ω |
0.71336820529232 |
Real period |
R |
0.35763178266007 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000078 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85932p1 |
Quadratic twists by: -3 |