Atkin-Lehner |
2+ 3- 19- 59- |
Signs for the Atkin-Lehner involutions |
Class |
20178j |
Isogeny class |
Conductor |
20178 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1735751916 = 22 · 38 · 19 · 592 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 -4 4 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3681,-85023] |
[a1,a2,a3,a4,a6] |
j |
7567631909137/2381004 |
j-invariant |
L |
2.451719388378 |
L(r)(E,1)/r! |
Ω |
0.61292984709451 |
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 |
6726i2 |
Quadratic twists by: -3 |