Atkin-Lehner |
2+ 3+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
32856d |
Isogeny class |
Conductor |
32856 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1726272 |
Modular degree for the optimal curve |
Δ |
-7.0795400285724E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 4 1 -2 3 8 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2245616,-1356282852] |
[a1,a2,a3,a4,a6] |
Generators |
[176840933088209447520209951328705694:-10443154099803217381839389012253871160:42982033070425490033767624638307] |
Generators of the group modulo torsion |
j |
-348190276/19683 |
j-invariant |
L |
6.8879928417916 |
L(r)(E,1)/r! |
Ω |
0.06146284901167 |
Real period |
R |
56.033790757761 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65712l1 98568x1 32856k1 |
Quadratic twists by: -4 -3 37 |