Atkin-Lehner |
2- 3+ 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
53754k |
Isogeny class |
Conductor |
53754 |
Conductor |
∏ cp |
70 |
Product of Tamagawa factors cp |
deg |
100800 |
Modular degree for the optimal curve |
Δ |
-9531445984128 = -1 · 27 · 32 · 172 · 315 |
Discriminant |
Eigenvalues |
2- 3+ -2 -1 -3 2 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1349,149195] |
[a1,a2,a3,a4,a6] |
Generators |
[155:1844:1] |
Generators of the group modulo torsion |
j |
-939467670193/32980781952 |
j-invariant |
L |
5.5104822147159 |
L(r)(E,1)/r! |
Ω |
0.60637194945751 |
Real period |
R |
0.12982324556069 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000052 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53754q1 |
Quadratic twists by: 17 |