Atkin-Lehner |
2- 3- 5- 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
115440de |
Isogeny class |
Conductor |
115440 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
15958425600 = 214 · 34 · 52 · 13 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 -2 13+ 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-640,-1612] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:48:1] |
Generators of the group modulo torsion |
j |
7088952961/3896100 |
j-invariant |
L |
7.4781294308603 |
L(r)(E,1)/r! |
Ω |
1.0148168215823 |
Real period |
R |
0.92111813440753 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014937 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14430bb1 |
Quadratic twists by: -4 |