Atkin-Lehner |
2- 3- 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
40560cz |
Isogeny class |
Conductor |
40560 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-2699673600 = -1 · 214 · 3 · 52 · 133 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 4 13- -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-680,-7500] |
[a1,a2,a3,a4,a6] |
Generators |
[474:3237:8] |
Generators of the group modulo torsion |
j |
-3869893/300 |
j-invariant |
L |
8.225404826432 |
L(r)(E,1)/r! |
Ω |
0.46533046714452 |
Real period |
R |
4.4191200701435 |
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 |
5070g1 121680eh1 40560cm1 |
Quadratic twists by: -4 -3 13 |