Atkin-Lehner |
2- 5+ 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
46480o |
Isogeny class |
Conductor |
46480 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
52992 |
Modular degree for the optimal curve |
Δ |
-987607040 = -1 · 212 · 5 · 7 · 832 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- 3 -5 -5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-23381,1383901] |
[a1,a2,a3,a4,a6] |
Generators |
[714:83:8] |
Generators of the group modulo torsion |
j |
-345121157545984/241115 |
j-invariant |
L |
3.4589859454599 |
L(r)(E,1)/r! |
Ω |
1.2954237330621 |
Real period |
R |
1.3350789618777 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2905a1 |
Quadratic twists by: -4 |