Atkin-Lehner |
2- 3+ 5- 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
23460i |
Isogeny class |
Conductor |
23460 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
35616 |
Modular degree for the optimal curve |
Δ |
-1573415280 = -1 · 24 · 37 · 5 · 17 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 5- 5 -1 6 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4370,112677] |
[a1,a2,a3,a4,a6] |
j |
-576962274977536/98338455 |
j-invariant |
L |
2.9128852848404 |
L(r)(E,1)/r! |
Ω |
1.4564426424202 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93840cq1 70380x1 117300z1 |
Quadratic twists by: -4 -3 5 |