Atkin-Lehner |
2- 3- 7+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
67536bq |
Isogeny class |
Conductor |
67536 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
-7600114593792 = -1 · 212 · 310 · 7 · 672 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ -4 -4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1515,-134566] |
[a1,a2,a3,a4,a6] |
j |
-128787625/2545263 |
j-invariant |
L |
1.2790094889079 |
L(r)(E,1)/r! |
Ω |
0.31975237343747 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4221g1 22512l1 |
Quadratic twists by: -4 -3 |