Atkin-Lehner |
2- 3- 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
27930cv |
Isogeny class |
Conductor |
27930 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-105149970240 = -1 · 26 · 3 · 5 · 78 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 4 1 7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-12741,552705] |
[a1,a2,a3,a4,a6] |
j |
-39678209809/18240 |
j-invariant |
L |
6.2618636698981 |
L(r)(E,1)/r! |
Ω |
1.0436439449832 |
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 |
83790bq1 27930cn1 |
Quadratic twists by: -3 -7 |