Atkin-Lehner |
2- 3- 17- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
3774r |
Isogeny class |
Conductor |
3774 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
227889216 = 26 · 32 · 172 · 372 |
Discriminant |
Eigenvalues |
2- 3- 2 4 -4 2 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-302,1860] |
[a1,a2,a3,a4,a6] |
j |
3046733141473/227889216 |
j-invariant |
L |
5.1874521440761 |
L(r)(E,1)/r! |
Ω |
1.729150714692 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
30192t2 120768s2 11322e2 94350e2 |
Quadratic twists by: -4 8 -3 5 |