Atkin-Lehner |
3- 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
46023g |
Isogeny class |
Conductor |
46023 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4992 |
Modular degree for the optimal curve |
Δ |
1058529 = 3 · 233 · 29 |
Discriminant |
Eigenvalues |
-1 3- -2 -2 -2 -2 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-34,-61] |
[a1,a2,a3,a4,a6] |
Generators |
[7:4:1] |
Generators of the group modulo torsion |
j |
357911/87 |
j-invariant |
L |
2.3426270403136 |
L(r)(E,1)/r! |
Ω |
2.0118097216439 |
Real period |
R |
2.328875355475 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999694 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
46023f1 |
Quadratic twists by: -23 |