Atkin-Lehner |
2- 3- 5- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
53040cy |
Isogeny class |
Conductor |
53040 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
-16140973680 = -1 · 24 · 35 · 5 · 132 · 173 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 5 13- 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,630,-405] |
[a1,a2,a3,a4,a6] |
Generators |
[3:39:1] |
Generators of the group modulo torsion |
j |
1725582942464/1008810855 |
j-invariant |
L |
8.1077163357887 |
L(r)(E,1)/r! |
Ω |
0.72989152337927 |
Real period |
R |
1.110811137827 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000045 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13260h1 |
Quadratic twists by: -4 |