Atkin-Lehner |
2+ 3- 7+ 13- 59- |
Signs for the Atkin-Lehner involutions |
Class |
32214m |
Isogeny class |
Conductor |
32214 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
423360 |
Modular degree for the optimal curve |
Δ |
-1085351721172992 = -1 · 218 · 33 · 7 · 135 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 4 7+ -2 13- 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-284239,-58372606] |
[a1,a2,a3,a4,a6] |
j |
-2539642086020220847849/1085351721172992 |
j-invariant |
L |
3.1014083157964 |
L(r)(E,1)/r! |
Ω |
0.10338027719329 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96642by1 |
Quadratic twists by: -3 |