Atkin-Lehner |
2- 3- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
45486bh |
Isogeny class |
Conductor |
45486 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
2161082383808217156 = 22 · 314 · 74 · 196 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 4 -6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-337964,26848523] |
[a1,a2,a3,a4,a6] |
j |
124475734657/63011844 |
j-invariant |
L |
3.6826740900942 |
L(r)(E,1)/r! |
Ω |
0.2301671306367 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
15162l4 126b4 |
Quadratic twists by: -3 -19 |