Atkin-Lehner |
2- 3+ 5- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
119130bf |
Isogeny class |
Conductor |
119130 |
Conductor |
∏ cp |
660 |
Product of Tamagawa factors cp |
deg |
10264320 |
Modular degree for the optimal curve |
Δ |
-2.276106047622E+22 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 11+ 3 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2782415,7474059605] |
[a1,a2,a3,a4,a6] |
Generators |
[663:76618:1] |
Generators of the group modulo torsion |
j |
-18279951364158495841/174653820000000000 |
j-invariant |
L |
9.3991544911404 |
L(r)(E,1)/r! |
Ω |
0.10275615215072 |
Real period |
R |
0.1385916359108 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999592218 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119130s1 |
Quadratic twists by: -19 |