Atkin-Lehner |
2+ 3- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
84474w |
Isogeny class |
Conductor |
84474 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
13099968 |
Modular degree for the optimal curve |
Δ |
-6.5061734062781E+22 |
Discriminant |
Eigenvalues |
2+ 3- 0 0 4 13- -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-144289782,-667192985996] |
[a1,a2,a3,a4,a6] |
j |
-74330474937625/14556672 |
j-invariant |
L |
2.134428621241 |
L(r)(E,1)/r! |
Ω |
0.021779883988109 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
49 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28158p1 84474bt1 |
Quadratic twists by: -3 -19 |