Atkin-Lehner |
2- 3+ 5+ 17- 59- |
Signs for the Atkin-Lehner involutions |
Class |
90270q |
Isogeny class |
Conductor |
90270 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
285696 |
Modular degree for the optimal curve |
Δ |
-25345632188160 = -1 · 28 · 39 · 5 · 172 · 592 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 2 2 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,7342,-7343] |
[a1,a2,a3,a4,a6] |
j |
2223980699877/1287691520 |
j-invariant |
L |
6.389969599528 |
L(r)(E,1)/r! |
Ω |
0.39937309968881 |
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 |
90270d1 |
Quadratic twists by: -3 |