Atkin-Lehner |
2- 3- 5- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
93840cj |
Isogeny class |
Conductor |
93840 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
380160 |
Modular degree for the optimal curve |
Δ |
-1856059424550000 = -1 · 24 · 33 · 55 · 173 · 234 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 1 4 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-29390,2828775] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:1725:1] |
Generators of the group modulo torsion |
j |
-175475813535798016/116003714034375 |
j-invariant |
L |
9.3483813777966 |
L(r)(E,1)/r! |
Ω |
0.4330266816472 |
Real period |
R |
0.35980775091716 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999926839 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23460e1 |
Quadratic twists by: -4 |