Atkin-Lehner |
2- 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
35574cb |
Isogeny class |
Conductor |
35574 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
304128 |
Modular degree for the optimal curve |
Δ |
-8170990989009156 = -1 · 22 · 34 · 76 · 118 |
Discriminant |
Eigenvalues |
2- 3+ 1 7- 11- 5 -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-80165,9725519] |
[a1,a2,a3,a4,a6] |
j |
-2259169/324 |
j-invariant |
L |
3.2069742478093 |
L(r)(E,1)/r! |
Ω |
0.40087178097443 |
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 |
106722db1 726i1 35574l1 |
Quadratic twists by: -3 -7 -11 |