Atkin-Lehner |
3+ 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
46389a |
Isogeny class |
Conductor |
46389 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
13500999537218487 = 34 · 7 · 478 |
Discriminant |
Eigenvalues |
1 3+ -4 7+ -2 0 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-63002,2381265] |
[a1,a2,a3,a4,a6] |
j |
2565726409/1252503 |
j-invariant |
L |
0.70651635815202 |
L(r)(E,1)/r! |
Ω |
0.3532581788823 |
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 |
987a2 |
Quadratic twists by: -47 |