Atkin-Lehner |
3- 7- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
92169t |
Isogeny class |
Conductor |
92169 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
52224 |
Modular degree for the optimal curve |
Δ |
-10922303007 = -1 · 36 · 73 · 112 · 192 |
Discriminant |
Eigenvalues |
1 3- 0 7- 11+ -6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,243,4752] |
[a1,a2,a3,a4,a6] |
Generators |
[-82:307:8] [4:74:1] |
Generators of the group modulo torsion |
j |
6331625/43681 |
j-invariant |
L |
13.136722140418 |
L(r)(E,1)/r! |
Ω |
0.93005825022818 |
Real period |
R |
3.5311557468105 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998254 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10241g1 92169n1 |
Quadratic twists by: -3 -7 |