Atkin-Lehner |
2+ 3+ 17+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
74562f |
Isogeny class |
Conductor |
74562 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
-1008853833924 = -1 · 22 · 35 · 176 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 3 3 5 -3 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-4196,113508] |
[a1,a2,a3,a4,a6] |
j |
-338608873/41796 |
j-invariant |
L |
3.4072117825825 |
L(r)(E,1)/r! |
Ω |
0.85180295097047 |
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 |
258c1 |
Quadratic twists by: 17 |