Atkin-Lehner |
2+ 3- 5- 17- 83- |
Signs for the Atkin-Lehner involutions |
Class |
126990bh |
Isogeny class |
Conductor |
126990 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
180662400 |
Modular degree for the optimal curve |
Δ |
-9.1898589398906E+24 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 4 -5 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-24274006029,-1455655107179547] |
[a1,a2,a3,a4,a6] |
Generators |
[656433419794:376563114527603:1643032] |
Generators of the group modulo torsion |
j |
-2169804223603023417254869372425169/12606116515625000000000 |
j-invariant |
L |
5.0667671580694 |
L(r)(E,1)/r! |
Ω |
0.0060476158277345 |
Real period |
R |
13.96353897248 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14110f1 |
Quadratic twists by: -3 |