Atkin-Lehner |
2- 17- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
90304q |
Isogeny class |
Conductor |
90304 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
89088 |
Modular degree for the optimal curve |
Δ |
2218108977152 = 216 · 173 · 832 |
Discriminant |
Eigenvalues |
2- 0 -2 2 0 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7436,236176] |
[a1,a2,a3,a4,a6] |
Generators |
[90:544:1] |
Generators of the group modulo torsion |
j |
693844140132/33845657 |
j-invariant |
L |
4.2562631170555 |
L(r)(E,1)/r! |
Ω |
0.81175484646696 |
Real period |
R |
0.87388106048403 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001301 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
90304h1 22576b1 |
Quadratic twists by: -4 8 |