Atkin-Lehner |
2- 3+ 5- 103- |
Signs for the Atkin-Lehner involutions |
Class |
123600bm |
Isogeny class |
Conductor |
123600 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
168960 |
Modular degree for the optimal curve |
Δ |
-1483200000000 = -1 · 212 · 32 · 58 · 103 |
Discriminant |
Eigenvalues |
2- 3+ 5- 1 -2 -5 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8208,294912] |
[a1,a2,a3,a4,a6] |
Generators |
[-102:246:1] [-8:600:1] |
Generators of the group modulo torsion |
j |
-38226865/927 |
j-invariant |
L |
10.209614038773 |
L(r)(E,1)/r! |
Ω |
0.84854268204798 |
Real period |
R |
0.5013308041159 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999960301 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7725o1 123600bu1 |
Quadratic twists by: -4 5 |