Atkin-Lehner |
3- 7- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
92169bl |
Isogeny class |
Conductor |
92169 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
51200 |
Modular degree for the optimal curve |
Δ |
-2978809911 = -1 · 37 · 73 · 11 · 192 |
Discriminant |
Eigenvalues |
-1 3- -2 7- 11- -6 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-356,-3594] |
[a1,a2,a3,a4,a6] |
Generators |
[32:114:1] |
Generators of the group modulo torsion |
j |
-19902511/11913 |
j-invariant |
L |
2.8626473360587 |
L(r)(E,1)/r! |
Ω |
0.5350202867649 |
Real period |
R |
2.6752699065846 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999681061 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30723g1 92169be1 |
Quadratic twists by: -3 -7 |