Atkin-Lehner |
2- 3- 5+ 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
44730bm |
Isogeny class |
Conductor |
44730 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
57344 |
Modular degree for the optimal curve |
Δ |
-146084601600 = -1 · 28 · 38 · 52 · 72 · 71 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -4 -4 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-68,18407] |
[a1,a2,a3,a4,a6] |
Generators |
[13:-147:1] [-15:133:1] |
Generators of the group modulo torsion |
j |
-47045881/200390400 |
j-invariant |
L |
12.169251397876 |
L(r)(E,1)/r! |
Ω |
0.82692968414021 |
Real period |
R |
0.45988082599673 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14910v1 |
Quadratic twists by: -3 |