Atkin-Lehner |
3+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
6027b |
Isogeny class |
Conductor |
6027 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
-208667276024892741 = -1 · 37 · 77 · 415 |
Discriminant |
Eigenvalues |
-1 3+ -3 7- -6 7 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,144108,-6237750] |
[a1,a2,a3,a4,a6] |
j |
2813193182704463/1773642581109 |
j-invariant |
L |
0.72763017758993 |
L(r)(E,1)/r! |
Ω |
0.18190754439748 |
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 |
96432cq1 18081l1 861c1 |
Quadratic twists by: -4 -3 -7 |