Atkin-Lehner |
2- 3- 17+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
101592m |
Isogeny class |
Conductor |
101592 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
37888 |
Modular degree for the optimal curve |
Δ |
-263326464 = -1 · 28 · 36 · 17 · 83 |
Discriminant |
Eigenvalues |
2- 3- 3 -2 0 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-396,-3132] |
[a1,a2,a3,a4,a6] |
j |
-36799488/1411 |
j-invariant |
L |
2.1356498951121 |
L(r)(E,1)/r! |
Ω |
0.53391243641896 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11288a1 |
Quadratic twists by: -3 |