Atkin-Lehner |
2+ 3- 5+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
67320l |
Isogeny class |
Conductor |
67320 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
232960 |
Modular degree for the optimal curve |
Δ |
-1908085766400000 = -1 · 211 · 313 · 55 · 11 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 11+ 0 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,9357,2072558] |
[a1,a2,a3,a4,a6] |
Generators |
[2018:36207:8] |
Generators of the group modulo torsion |
j |
60684268318/1278028125 |
j-invariant |
L |
5.9449457638372 |
L(r)(E,1)/r! |
Ω |
0.34997902325852 |
Real period |
R |
4.246644348042 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993625 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22440s1 |
Quadratic twists by: -3 |