Atkin-Lehner |
11+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
41327i |
Isogeny class |
Conductor |
41327 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
69768 |
Modular degree for the optimal curve |
Δ |
-997533314063 = -1 · 11 · 13 · 178 |
Discriminant |
Eigenvalues |
-1 1 -4 3 11+ 13- 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1740,-55729] |
[a1,a2,a3,a4,a6] |
Generators |
[1515:3433:27] |
Generators of the group modulo torsion |
j |
-83521/143 |
j-invariant |
L |
2.9962290414997 |
L(r)(E,1)/r! |
Ω |
0.34926216266458 |
Real period |
R |
2.8595797672775 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41327n1 |
Quadratic twists by: 17 |