Atkin-Lehner |
2- 3- 5- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
27930dg |
Isogeny class |
Conductor |
27930 |
Conductor |
∏ cp |
45 |
Product of Tamagawa factors cp |
deg |
108000 |
Modular degree for the optimal curve |
Δ |
-143667004320 = -1 · 25 · 39 · 5 · 74 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -2 0 5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-121325,-16275855] |
[a1,a2,a3,a4,a6] |
j |
-82258857972188401/59836320 |
j-invariant |
L |
5.7556511065227 |
L(r)(E,1)/r! |
Ω |
0.12790335792271 |
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 |
83790u1 27930ce1 |
Quadratic twists by: -3 -7 |