Atkin-Lehner |
2- 3- 5- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
53040cx |
Isogeny class |
Conductor |
53040 |
Conductor |
∏ cp |
150 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
-17451365068800000 = -1 · 215 · 33 · 55 · 135 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 -5 13- 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,61160,2570900] |
[a1,a2,a3,a4,a6] |
Generators |
[20:1950:1] |
Generators of the group modulo torsion |
j |
6176736766011239/4260587175000 |
j-invariant |
L |
8.3078006030796 |
L(r)(E,1)/r! |
Ω |
0.24571941376473 |
Real period |
R |
0.22540073861145 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000022 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6630h1 |
Quadratic twists by: -4 |