Atkin-Lehner |
2- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
28322bj |
Isogeny class |
Conductor |
28322 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1645056 |
Modular degree for the optimal curve |
Δ |
91917379363735408 = 24 · 77 · 178 |
Discriminant |
Eigenvalues |
2- -1 4 7- 0 2 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-16936851,26821483681] |
[a1,a2,a3,a4,a6] |
j |
654699641761/112 |
j-invariant |
L |
4.2618735313039 |
L(r)(E,1)/r! |
Ω |
0.26636709570655 |
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 |
4046s1 28322w1 |
Quadratic twists by: -7 17 |