Atkin-Lehner |
2+ 3- 5- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
4770m |
Isogeny class |
Conductor |
4770 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
-3500394990796800 = -1 · 227 · 39 · 52 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 5- 1 1 -6 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-990189,-379012955] |
[a1,a2,a3,a4,a6] |
Generators |
[1781:58307:1] |
Generators of the group modulo torsion |
j |
-147282356044230283729/4801639219200 |
j-invariant |
L |
3.0493780084305 |
L(r)(E,1)/r! |
Ω |
0.075672688626949 |
Real period |
R |
5.0371178554645 |
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 |
38160bq1 1590l1 23850co1 |
Quadratic twists by: -4 -3 5 |