Atkin-Lehner |
2- 3- 17+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
67728u |
Isogeny class |
Conductor |
67728 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-32488772665344 = -1 · 216 · 3 · 172 · 833 |
Discriminant |
Eigenvalues |
2- 3- -1 2 3 0 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-18136,-985324] |
[a1,a2,a3,a4,a6] |
Generators |
[2065965:49792796:3375] |
Generators of the group modulo torsion |
j |
-161069099939929/7931829264 |
j-invariant |
L |
8.6452901411419 |
L(r)(E,1)/r! |
Ω |
0.20511017436867 |
Real period |
R |
10.53737359465 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995321 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8466b1 |
Quadratic twists by: -4 |