Atkin-Lehner |
2+ 3+ 7+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
27846b |
Isogeny class |
Conductor |
27846 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
8320 |
Modular degree for the optimal curve |
Δ |
-1169532 = -1 · 22 · 33 · 72 · 13 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 4 7+ -4 13- 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,0,-52] |
[a1,a2,a3,a4,a6] |
j |
-27/43316 |
j-invariant |
L |
2.5104507617038 |
L(r)(E,1)/r! |
Ω |
1.2552253808521 |
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 |
27846y1 |
Quadratic twists by: -3 |