Atkin-Lehner |
3- 19- 79- |
Signs for the Atkin-Lehner involutions |
Class |
85557f |
Isogeny class |
Conductor |
85557 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
10782720 |
Modular degree for the optimal curve |
Δ |
-9.1625910233566E+21 |
Discriminant |
Eigenvalues |
-2 3- -3 -1 1 -6 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-12065462,16771620860] |
[a1,a2,a3,a4,a6] |
Generators |
[25:-128336:1] [709:92596:1] |
Generators of the group modulo torsion |
j |
-4128896637887131648/194758623467091 |
j-invariant |
L |
5.3509087314473 |
L(r)(E,1)/r! |
Ω |
0.12851659776275 |
Real period |
R |
0.43370765788885 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000667 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4503b1 |
Quadratic twists by: -19 |