Atkin-Lehner |
2+ 3- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
24642h |
Isogeny class |
Conductor |
24642 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-261619974144 = -1 · 218 · 36 · 372 |
Discriminant |
Eigenvalues |
2+ 3- 3 -4 6 -2 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1242,-18252] |
[a1,a2,a3,a4,a6] |
j |
212207543/262144 |
j-invariant |
L |
2.1042567001461 |
L(r)(E,1)/r! |
Ω |
0.52606417503654 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2738d2 24642t2 |
Quadratic twists by: -3 37 |