Atkin-Lehner |
2- 3+ 7- 11- 89- |
Signs for the Atkin-Lehner involutions |
Class |
41118r |
Isogeny class |
Conductor |
41118 |
Conductor |
∏ cp |
33 |
Product of Tamagawa factors cp |
deg |
20064 |
Modular degree for the optimal curve |
Δ |
-2063136768 = -1 · 211 · 3 · 73 · 11 · 89 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 11- -1 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,87,2199] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:32:1] |
Generators of the group modulo torsion |
j |
72772859375/2063136768 |
j-invariant |
L |
7.7929753487549 |
L(r)(E,1)/r! |
Ω |
1.1059820514565 |
Real period |
R |
0.21352133864472 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123354q1 |
Quadratic twists by: -3 |