Atkin-Lehner |
2+ 3- 23+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
96048d |
Isogeny class |
Conductor |
96048 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
854016 |
Modular degree for the optimal curve |
Δ |
-283973691888 = -1 · 24 · 37 · 234 · 29 |
Discriminant |
Eigenvalues |
2+ 3- -2 1 -5 1 7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1154451,-477431831] |
[a1,a2,a3,a4,a6] |
j |
-14588233766058627328/24346167 |
j-invariant |
L |
0.58259395917603 |
L(r)(E,1)/r! |
Ω |
0.072824193369559 |
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 |
48024d1 32016k1 |
Quadratic twists by: -4 -3 |