Atkin-Lehner |
2- 3- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
6936n |
Isogeny class |
Conductor |
6936 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-236887347278359296 = -1 · 28 · 33 · 1711 |
Discriminant |
Eigenvalues |
2- 3- -3 0 1 3 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,147583,-8444109] |
[a1,a2,a3,a4,a6] |
Generators |
[6301:501126:1] |
Generators of the group modulo torsion |
j |
57530252288/38336139 |
j-invariant |
L |
4.1741392371969 |
L(r)(E,1)/r! |
Ω |
0.1781081321597 |
Real period |
R |
0.97649931032116 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13872c1 55488l1 20808n1 408c1 |
Quadratic twists by: -4 8 -3 17 |