Atkin-Lehner |
2- 3- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
54600cl |
Isogeny class |
Conductor |
54600 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
4990781250000 = 24 · 33 · 510 · 7 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 13- 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-266383,52829738] |
[a1,a2,a3,a4,a6] |
Generators |
[299:39:1] |
Generators of the group modulo torsion |
j |
8361897711794176/19963125 |
j-invariant |
L |
8.4843789062248 |
L(r)(E,1)/r! |
Ω |
0.66400369959706 |
Real period |
R |
1.0648006569082 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999758 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
109200h1 10920e1 |
Quadratic twists by: -4 5 |