Atkin-Lehner |
2+ 5+ 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
18550d |
Isogeny class |
Conductor |
18550 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1440 |
Modular degree for the optimal curve |
Δ |
74200 = 23 · 52 · 7 · 53 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7- -4 -1 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-11,-2] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:4:1] |
Generators of the group modulo torsion |
j |
5151505/2968 |
j-invariant |
L |
4.0046005084221 |
L(r)(E,1)/r! |
Ω |
2.8870909700693 |
Real period |
R |
1.3870711210482 |
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 |
18550t1 129850i1 |
Quadratic twists by: 5 -7 |