Atkin-Lehner |
2- 3- 5- 19- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
40470bn |
Isogeny class |
Conductor |
40470 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-133240190400 = -1 · 26 · 32 · 52 · 194 · 71 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 2 -6 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4800,-129600] |
[a1,a2,a3,a4,a6] |
Generators |
[156:1632:1] |
Generators of the group modulo torsion |
j |
-12230749717171201/133240190400 |
j-invariant |
L |
10.985450168292 |
L(r)(E,1)/r! |
Ω |
0.28660043620198 |
Real period |
R |
1.5970913945952 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121410f1 |
Quadratic twists by: -3 |