Atkin-Lehner |
3+ 7- 13+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
112749c |
Isogeny class |
Conductor |
112749 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
3483648 |
Modular degree for the optimal curve |
Δ |
-9.6685861896492E+18 |
Discriminant |
Eigenvalues |
0 3+ -3 7- 2 13+ -6 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-4528057,3713176725] |
[a1,a2,a3,a4,a6] |
Generators |
[1699:-30356:1] |
Generators of the group modulo torsion |
j |
-254435147042258944/239596579053 |
j-invariant |
L |
1.8760844944874 |
L(r)(E,1)/r! |
Ω |
0.22855507469116 |
Real period |
R |
0.51302856851752 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998387484 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112749q1 |
Quadratic twists by: -7 |