Atkin-Lehner |
2+ 5+ 11- 83- |
Signs for the Atkin-Lehner involutions |
Class |
73040c |
Isogeny class |
Conductor |
73040 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
44928 |
Modular degree for the optimal curve |
Δ |
-775976960 = -1 · 211 · 5 · 11 · 832 |
Discriminant |
Eigenvalues |
2+ 1 5+ -5 11- -6 -7 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-296,-2476] |
[a1,a2,a3,a4,a6] |
Generators |
[50:-332:1] |
Generators of the group modulo torsion |
j |
-1405190738/378895 |
j-invariant |
L |
3.0998158606453 |
L(r)(E,1)/r! |
Ω |
0.56736202817177 |
Real period |
R |
0.68294486283256 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001922 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36520a1 |
Quadratic twists by: -4 |