Atkin-Lehner |
2+ 3- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
3936a |
Isogeny class |
Conductor |
3936 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-69714432 = -1 · 29 · 34 · 412 |
Discriminant |
Eigenvalues |
2+ 3- 2 2 4 0 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-112,572] |
[a1,a2,a3,a4,a6] |
j |
-306182024/136161 |
j-invariant |
L |
3.6473762040387 |
L(r)(E,1)/r! |
Ω |
1.8236881020194 |
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 |
3936b2 7872d2 11808p2 98400bv2 |
Quadratic twists by: -4 8 -3 5 |