Atkin-Lehner |
2- 3- 13+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
31356g |
Isogeny class |
Conductor |
31356 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-9485901404928 = -1 · 28 · 36 · 132 · 673 |
Discriminant |
Eigenvalues |
2- 3- -2 4 2 13+ -3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13896,-647676] |
[a1,a2,a3,a4,a6] |
Generators |
[180:1638:1] |
Generators of the group modulo torsion |
j |
-1590104383488/50828947 |
j-invariant |
L |
5.8196461369569 |
L(r)(E,1)/r! |
Ω |
0.21944743705016 |
Real period |
R |
2.2099620662338 |
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 |
125424w1 3484a1 |
Quadratic twists by: -4 -3 |