Atkin-Lehner |
2- 3- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
16560cc |
Isogeny class |
Conductor |
16560 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
12800 |
Modular degree for the optimal curve |
Δ |
-214617600000 = -1 · 212 · 36 · 55 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 2 -2 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1008,-18576] |
[a1,a2,a3,a4,a6] |
Generators |
[33:225:1] |
Generators of the group modulo torsion |
j |
37933056/71875 |
j-invariant |
L |
5.1928170557318 |
L(r)(E,1)/r! |
Ω |
0.52193586732083 |
Real period |
R |
0.99491477418236 |
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 |
1035e1 66240ey1 1840e1 82800da1 |
Quadratic twists by: -4 8 -3 5 |