Atkin-Lehner |
2+ 3- 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
90576f |
Isogeny class |
Conductor |
90576 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
199680 |
Modular degree for the optimal curve |
Δ |
-11570552137728 = -1 · 211 · 38 · 17 · 373 |
Discriminant |
Eigenvalues |
2+ 3- 0 -5 -2 -5 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1365,-162502] |
[a1,a2,a3,a4,a6] |
Generators |
[121:-1332:1] |
Generators of the group modulo torsion |
j |
188392750/7749909 |
j-invariant |
L |
2.8619529028135 |
L(r)(E,1)/r! |
Ω |
0.34381242883391 |
Real period |
R |
0.34684039201416 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001772 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45288j1 30192e1 |
Quadratic twists by: -4 -3 |