Atkin-Lehner |
3+ 13+ 23- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
27807b |
Isogeny class |
Conductor |
27807 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
37632 |
Modular degree for the optimal curve |
Δ |
-32307535143 = -1 · 32 · 132 · 23 · 314 |
Discriminant |
Eigenvalues |
-1 3+ -4 2 4 13+ 8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-880,-13624] |
[a1,a2,a3,a4,a6] |
j |
-75370704203521/32307535143 |
j-invariant |
L |
0.85860794075713 |
L(r)(E,1)/r! |
Ω |
0.42930397037869 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83421e1 |
Quadratic twists by: -3 |