Atkin-Lehner |
7+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
32851b |
Isogeny class |
Conductor |
32851 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1149120 |
Modular degree for the optimal curve |
Δ |
-5.8384658673835E+20 |
Discriminant |
Eigenvalues |
-1 -2 -1 7+ -1 13+ -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-5277286,4808405277] |
[a1,a2,a3,a4,a6] |
Generators |
[2196:60633:1] |
Generators of the group modulo torsion |
j |
-50370145142491/1809323971 |
j-invariant |
L |
1.0508153757055 |
L(r)(E,1)/r! |
Ω |
0.16231667048379 |
Real period |
R |
3.2369299239977 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32851e1 |
Quadratic twists by: -19 |