Atkin-Lehner |
2- 7- 11+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
85162z |
Isogeny class |
Conductor |
85162 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
239616 |
Modular degree for the optimal curve |
Δ |
-39802083547072 = -1 · 26 · 77 · 112 · 792 |
Discriminant |
Eigenvalues |
2- -2 0 7- 11+ -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-9458,-467132] |
[a1,a2,a3,a4,a6] |
Generators |
[1086:6409:8] [144:1006:1] |
Generators of the group modulo torsion |
j |
-795309684625/338312128 |
j-invariant |
L |
11.655623642955 |
L(r)(E,1)/r! |
Ω |
0.23713426140051 |
Real period |
R |
2.0480000749701 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999365 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12166k1 |
Quadratic twists by: -7 |