Atkin-Lehner |
2- 3- 31- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
123504bi |
Isogeny class |
Conductor |
123504 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
637683757056 = 212 · 36 · 31 · 832 |
Discriminant |
Eigenvalues |
2- 3- 2 4 -4 4 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3392,64500] |
[a1,a2,a3,a4,a6] |
j |
1054045415233/155684511 |
j-invariant |
L |
5.2474955037865 |
L(r)(E,1)/r! |
Ω |
0.87458259244495 |
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 |
7719b2 |
Quadratic twists by: -4 |