Atkin-Lehner |
2+ 3+ 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
64350n |
Isogeny class |
Conductor |
64350 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
-2718144000000 = -1 · 212 · 33 · 56 · 112 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 11- 13- -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,858,78516] |
[a1,a2,a3,a4,a6] |
Generators |
[28:-366:1] |
Generators of the group modulo torsion |
j |
165469149/6443008 |
j-invariant |
L |
5.1786900030678 |
L(r)(E,1)/r! |
Ω |
0.61121637943255 |
Real period |
R |
1.0590950637527 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000644 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64350cu1 2574s1 |
Quadratic twists by: -3 5 |