Atkin-Lehner |
2+ 3- 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
41952j |
Isogeny class |
Conductor |
41952 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
37632 |
Modular degree for the optimal curve |
Δ |
8909849664 = 26 · 36 · 192 · 232 |
Discriminant |
Eigenvalues |
2+ 3- -2 4 4 -6 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-534,-1584] |
[a1,a2,a3,a4,a6] |
j |
263621326528/139216401 |
j-invariant |
L |
3.1611703377068 |
L(r)(E,1)/r! |
Ω |
1.0537234459106 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
41952b1 83904bb2 125856bi1 |
Quadratic twists by: -4 8 -3 |