Atkin-Lehner |
2- 3+ 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
53280ba |
Isogeny class |
Conductor |
53280 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
-1165233600 = -1 · 26 · 39 · 52 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 6 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,243,756] |
[a1,a2,a3,a4,a6] |
Generators |
[240:3726:1] |
Generators of the group modulo torsion |
j |
1259712/925 |
j-invariant |
L |
7.596369550116 |
L(r)(E,1)/r! |
Ω |
0.98263395742721 |
Real period |
R |
3.8653099115377 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53280g1 106560i1 53280b1 |
Quadratic twists by: -4 8 -3 |