Atkin-Lehner |
3+ 5- 7- 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
41055f |
Isogeny class |
Conductor |
41055 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
63488 |
Modular degree for the optimal curve |
Δ |
-777642830895 = -1 · 3 · 5 · 78 · 17 · 232 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7- 4 6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,2010,-23598] |
[a1,a2,a3,a4,a6] |
Generators |
[14420:119778:343] |
Generators of the group modulo torsion |
j |
898045580910239/777642830895 |
j-invariant |
L |
4.0416834236718 |
L(r)(E,1)/r! |
Ω |
0.49398945007564 |
Real period |
R |
8.1817201218695 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999919 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
123165d1 |
Quadratic twists by: -3 |