Atkin-Lehner |
2- 7- 13- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
42952i |
Isogeny class |
Conductor |
42952 |
Conductor |
∏ cp |
100 |
Product of Tamagawa factors cp |
deg |
403200 |
Modular degree for the optimal curve |
Δ |
-5560975096558336 = -1 · 28 · 75 · 135 · 592 |
Discriminant |
Eigenvalues |
2- -2 -3 7- -4 13- -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-307977,65780011] |
[a1,a2,a3,a4,a6] |
Generators |
[393:2366:1] [-114:9971:1] |
Generators of the group modulo torsion |
j |
-12619437864214617088/21722558970931 |
j-invariant |
L |
5.4588795714939 |
L(r)(E,1)/r! |
Ω |
0.42809133031807 |
Real period |
R |
0.12751670461158 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85904e1 |
Quadratic twists by: -4 |