Atkin-Lehner |
2- 3- 5- 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
55650dm |
Isogeny class |
Conductor |
55650 |
Conductor |
∏ cp |
270 |
Product of Tamagawa factors cp |
deg |
302400 |
Modular degree for the optimal curve |
Δ |
-897523200000000 = -1 · 215 · 33 · 58 · 72 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 3 -4 -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-6013,1452017] |
[a1,a2,a3,a4,a6] |
Generators |
[98:1295:1] |
Generators of the group modulo torsion |
j |
-61551948145/2297659392 |
j-invariant |
L |
12.355741667726 |
L(r)(E,1)/r! |
Ω |
0.41480353071841 |
Real period |
R |
0.9928991078629 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000053 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
55650h1 |
Quadratic twists by: 5 |