Atkin-Lehner |
2- 3+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
84474bl |
Isogeny class |
Conductor |
84474 |
Conductor |
∏ cp |
280 |
Product of Tamagawa factors cp |
deg |
2419200 |
Modular degree for the optimal curve |
Δ |
-821275365477924864 = -1 · 214 · 39 · 135 · 193 |
Discriminant |
Eigenvalues |
2- 3+ 3 -5 -4 13- -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,58129,-43281161] |
[a1,a2,a3,a4,a6] |
Generators |
[1411:52646:1] |
Generators of the group modulo torsion |
j |
160900419519/6083264512 |
j-invariant |
L |
9.4807052025128 |
L(r)(E,1)/r! |
Ω |
0.13571352137797 |
Real period |
R |
0.2494936472548 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002115 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84474g1 84474b1 |
Quadratic twists by: -3 -19 |