Atkin-Lehner |
2- 3+ 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
40560by |
Isogeny class |
Conductor |
40560 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
479232 |
Modular degree for the optimal curve |
Δ |
-732982996661760000 = -1 · 212 · 33 · 54 · 139 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 0 13- -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-273160,-68584400] |
[a1,a2,a3,a4,a6] |
j |
-51895117/16875 |
j-invariant |
L |
0.82172820949544 |
L(r)(E,1)/r! |
Ω |
0.10271602618186 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2535m1 121680ej1 40560bn1 |
Quadratic twists by: -4 -3 13 |