Atkin-Lehner |
2+ 3- 7- 19+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
98154ba |
Isogeny class |
Conductor |
98154 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
169344 |
Modular degree for the optimal curve |
Δ |
473721042816 = 27 · 36 · 73 · 192 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- 2 -6 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1968,-5248] |
[a1,a2,a3,a4,a6] |
Generators |
[47:43:1] |
Generators of the group modulo torsion |
j |
1156633033473/649823104 |
j-invariant |
L |
6.617760161019 |
L(r)(E,1)/r! |
Ω |
0.77102150908732 |
Real period |
R |
1.430517842354 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011319 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10906o1 |
Quadratic twists by: -3 |