Atkin-Lehner |
2- 3- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
45486bh |
Isogeny class |
Conductor |
45486 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-553133101231872 = -1 · 28 · 38 · 7 · 196 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 4 -6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-13064,1272395] |
[a1,a2,a3,a4,a6] |
j |
-7189057/16128 |
j-invariant |
L |
3.6826740900942 |
L(r)(E,1)/r! |
Ω |
0.4603342612734 |
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 |
15162l1 126b1 |
Quadratic twists by: -3 -19 |