Atkin-Lehner |
2- 3- 5+ 7+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
45990bx |
Isogeny class |
Conductor |
45990 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
978432 |
Modular degree for the optimal curve |
Δ |
121800767219712000 = 214 · 313 · 53 · 7 · 732 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -6 -2 -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-330773,71353581] |
[a1,a2,a3,a4,a6] |
Generators |
[191:3792:1] |
Generators of the group modulo torsion |
j |
5490161367129943561/167079241728000 |
j-invariant |
L |
6.5776124939203 |
L(r)(E,1)/r! |
Ω |
0.32939265324491 |
Real period |
R |
0.71317538387993 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000024 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15330e1 |
Quadratic twists by: -3 |