Atkin-Lehner |
2- 7- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
44506v |
Isogeny class |
Conductor |
44506 |
Conductor |
∏ cp |
90 |
Product of Tamagawa factors cp |
deg |
587520 |
Modular degree for the optimal curve |
Δ |
-193608631993204736 = -1 · 215 · 7 · 112 · 178 |
Discriminant |
Eigenvalues |
2- 1 -3 7- 11+ 5 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,76868,19522576] |
[a1,a2,a3,a4,a6] |
j |
7200600767/27754496 |
j-invariant |
L |
2.2674678273433 |
L(r)(E,1)/r! |
Ω |
0.22674678275052 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
44506r1 |
Quadratic twists by: 17 |