Atkin-Lehner |
2- 3+ 17+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
81498m |
Isogeny class |
Conductor |
81498 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
884736 |
Modular degree for the optimal curve |
Δ |
-137669977267766208 = -1 · 26 · 38 · 178 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 0 0 6 0 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,19357,17829569] |
[a1,a2,a3,a4,a6] |
j |
33230963375/5703556032 |
j-invariant |
L |
3.0318067810512 |
L(r)(E,1)/r! |
Ω |
0.25265056389921 |
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 |
4794g1 |
Quadratic twists by: 17 |