Atkin-Lehner |
2- 3- 7+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
41832v |
Isogeny class |
Conductor |
41832 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
7168 |
Modular degree for the optimal curve |
Δ |
-20330352 = -1 · 24 · 37 · 7 · 83 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ -4 1 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-75,331] |
[a1,a2,a3,a4,a6] |
Generators |
[5:-9:1] [-3:23:1] |
Generators of the group modulo torsion |
j |
-4000000/1743 |
j-invariant |
L |
8.9721565082508 |
L(r)(E,1)/r! |
Ω |
2.0222485192931 |
Real period |
R |
0.55459037444292 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83664s1 13944f1 |
Quadratic twists by: -4 -3 |