Atkin-Lehner |
2+ 11+ 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
42328a |
Isogeny class |
Conductor |
42328 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
44640 |
Modular degree for the optimal curve |
Δ |
-2417860016 = -1 · 24 · 11 · 135 · 37 |
Discriminant |
Eigenvalues |
2+ 3 1 -4 11+ 13+ 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-322,-3247] |
[a1,a2,a3,a4,a6] |
Generators |
[205968:225413:9261] |
Generators of the group modulo torsion |
j |
-230765746176/151116251 |
j-invariant |
L |
10.134376641419 |
L(r)(E,1)/r! |
Ω |
0.54743198368896 |
Real period |
R |
9.2562884005461 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84656e1 |
Quadratic twists by: -4 |