Atkin-Lehner |
2- 3+ 5- 83- |
Signs for the Atkin-Lehner involutions |
Class |
39840j |
Isogeny class |
Conductor |
39840 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
-59520960 = -1 · 26 · 33 · 5 · 832 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 -4 -6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10,-368] |
[a1,a2,a3,a4,a6] |
j |
-1906624/930015 |
j-invariant |
L |
0.88735315916722 |
L(r)(E,1)/r! |
Ω |
0.88735315925809 |
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 |
39840g1 79680p1 119520f1 |
Quadratic twists by: -4 8 -3 |