Atkin-Lehner |
2+ 3- 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
46746k |
Isogeny class |
Conductor |
46746 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
1090490688 = 26 · 38 · 72 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- -1 3 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-261,405] |
[a1,a2,a3,a4,a6] |
Generators |
[18:27:1] |
Generators of the group modulo torsion |
j |
55164193/30528 |
j-invariant |
L |
5.5345932387837 |
L(r)(E,1)/r! |
Ω |
1.3450772477003 |
Real period |
R |
1.0286757225739 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15582z1 46746e1 |
Quadratic twists by: -3 -7 |