Atkin-Lehner |
2+ 3+ 7+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
67536d |
Isogeny class |
Conductor |
67536 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
16542537984 = 28 · 39 · 72 · 67 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ 0 -2 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-29511,-1951290] |
[a1,a2,a3,a4,a6] |
Generators |
[5439:14248:27] |
Generators of the group modulo torsion |
j |
564084586224/3283 |
j-invariant |
L |
5.2524947984664 |
L(r)(E,1)/r! |
Ω |
0.36425349274012 |
Real period |
R |
7.2099443155568 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993522 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33768a1 67536a1 |
Quadratic twists by: -4 -3 |