Atkin-Lehner |
37+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
1591a |
Isogeny class |
Conductor |
1591 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
744 |
Modular degree for the optimal curve |
Δ |
-108845083 = -1 · 372 · 433 |
Discriminant |
Eigenvalues |
-2 0 -2 -4 -5 1 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-71,552] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:21:1] [6:18:1] |
Generators of the group modulo torsion |
j |
-39582093312/108845083 |
j-invariant |
L |
1.593058770006 |
L(r)(E,1)/r! |
Ω |
1.6567126035763 |
Real period |
R |
0.1602630380356 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25456c1 101824d1 14319a1 39775d1 |
Quadratic twists by: -4 8 -3 5 |