Atkin-Lehner |
2- 5- 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
90650cx |
Isogeny class |
Conductor |
90650 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
2010624 |
Modular degree for the optimal curve |
Δ |
-111829391507456000 = -1 · 222 · 53 · 78 · 37 |
Discriminant |
Eigenvalues |
2- 3 5- 7+ -4 -3 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,67635,-14612363] |
[a1,a2,a3,a4,a6] |
j |
47484282699/155189248 |
j-invariant |
L |
7.4887394306478 |
L(r)(E,1)/r! |
Ω |
0.17019862780805 |
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 |
90650u1 90650dl1 |
Quadratic twists by: 5 -7 |