Atkin-Lehner |
3+ 7+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
32487a |
Isogeny class |
Conductor |
32487 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
16896 |
Modular degree for the optimal curve |
Δ |
42980301 = 34 · 74 · 13 · 17 |
Discriminant |
Eigenvalues |
2 3+ 2 7+ 1 13- 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-702,7391] |
[a1,a2,a3,a4,a6] |
Generators |
[90:221:8] |
Generators of the group modulo torsion |
j |
15957372928/17901 |
j-invariant |
L |
11.14546265391 |
L(r)(E,1)/r! |
Ω |
2.0222061885226 |
Real period |
R |
2.7557681103856 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97461f1 32487p1 |
Quadratic twists by: -3 -7 |