Atkin-Lehner |
2- 5- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
46930bg |
Isogeny class |
Conductor |
46930 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
12480 |
Modular degree for the optimal curve |
Δ |
-28533440 = -1 · 26 · 5 · 13 · 193 |
Discriminant |
Eigenvalues |
2- 1 5- 1 -2 13+ 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-150,740] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:42:1] |
Generators of the group modulo torsion |
j |
-54439939/4160 |
j-invariant |
L |
11.712509487173 |
L(r)(E,1)/r! |
Ω |
2.0608096537792 |
Real period |
R |
0.47362086812564 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999981 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46930u1 |
Quadratic twists by: -19 |