Atkin-Lehner |
2- 3+ 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
46800ck |
Isogeny class |
Conductor |
46800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
-14040000000000 = -1 · 212 · 33 · 510 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 -4 13- -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9675,408250] |
[a1,a2,a3,a4,a6] |
Generators |
[5:600:1] |
Generators of the group modulo torsion |
j |
-57960603/8125 |
j-invariant |
L |
5.8556738113932 |
L(r)(E,1)/r! |
Ω |
0.68181617803203 |
Real period |
R |
1.073543353772 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2925d1 46800ch1 9360be1 |
Quadratic twists by: -4 -3 5 |