Atkin-Lehner |
2- 3- 11- 73- |
Signs for the Atkin-Lehner involutions |
Class |
57816i |
Isogeny class |
Conductor |
57816 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-2134655112801024 = -1 · 28 · 311 · 112 · 733 |
Discriminant |
Eigenvalues |
2- 3- -1 -2 11- 0 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,31092,698884] |
[a1,a2,a3,a4,a6] |
Generators |
[32:1314:1] |
Generators of the group modulo torsion |
j |
17811569736704/11438266851 |
j-invariant |
L |
4.601577716011 |
L(r)(E,1)/r! |
Ω |
0.28898752788251 |
Real period |
R |
0.66346255920632 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000321 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115632f1 19272a1 |
Quadratic twists by: -4 -3 |