Atkin-Lehner |
2- 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
23128u |
Isogeny class |
Conductor |
23128 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
36960 |
Modular degree for the optimal curve |
Δ |
-7107881984 = -1 · 210 · 76 · 59 |
Discriminant |
Eigenvalues |
2- -3 3 7- 6 6 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-931,11662] |
[a1,a2,a3,a4,a6] |
j |
-740772/59 |
j-invariant |
L |
2.6001624693958 |
L(r)(E,1)/r! |
Ω |
1.3000812346979 |
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 |
46256m1 472d1 |
Quadratic twists by: -4 -7 |