Atkin-Lehner |
2+ 3- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
84474t |
Isogeny class |
Conductor |
84474 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
4499200 |
Modular degree for the optimal curve |
Δ |
-5.2405630306676E+20 |
Discriminant |
Eigenvalues |
2+ 3- -2 -1 -3 13- 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-21506823,38410678111] |
[a1,a2,a3,a4,a6] |
Generators |
[3159:43004:1] |
Generators of the group modulo torsion |
j |
-4676732925067/2227758 |
j-invariant |
L |
3.0468092966659 |
L(r)(E,1)/r! |
Ω |
0.16242358171036 |
Real period |
R |
0.93792085585808 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004199 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28158o1 84474bu1 |
Quadratic twists by: -3 -19 |