Atkin-Lehner |
2- 31- 47- |
Signs for the Atkin-Lehner involutions |
Class |
93248bm |
Isogeny class |
Conductor |
93248 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
654336 |
Modular degree for the optimal curve |
Δ |
421856935936 = 217 · 31 · 473 |
Discriminant |
Eigenvalues |
2- -1 3 1 -2 -4 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1660609,-823109023] |
[a1,a2,a3,a4,a6] |
j |
3863813978842917986/3218513 |
j-invariant |
L |
1.595930378544 |
L(r)(E,1)/r! |
Ω |
0.13299419530703 |
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 |
93248d1 23312c1 |
Quadratic twists by: -4 8 |