Atkin-Lehner |
2- 3- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
45486bh |
Isogeny class |
Conductor |
45486 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
2177961586100496 = 24 · 310 · 72 · 196 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 4 -6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-272984,54919883] |
[a1,a2,a3,a4,a6] |
j |
65597103937/63504 |
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 |
4 |
Number of elements in the torsion subgroup |
Twists |
15162l2 126b2 |
Quadratic twists by: -3 -19 |