Atkin-Lehner |
2- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
19600cj |
Isogeny class |
Conductor |
19600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-807072140000000 = -1 · 28 · 57 · 79 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- -3 -1 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-986533,-376825063] |
[a1,a2,a3,a4,a6] |
Generators |
[1237:17150:1] |
Generators of the group modulo torsion |
j |
-225637236736/1715 |
j-invariant |
L |
3.3711234311719 |
L(r)(E,1)/r! |
Ω |
0.075742811203615 |
Real period |
R |
1.3908594829009 |
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 |
4900f2 78400hi2 3920u2 2800t2 |
Quadratic twists by: -4 8 5 -7 |