Atkin-Lehner |
2- 3- 17- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
3774r |
Isogeny class |
Conductor |
3774 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1248 |
Modular degree for the optimal curve |
Δ |
-7729152 = -1 · 212 · 3 · 17 · 37 |
Discriminant |
Eigenvalues |
2- 3- 2 4 -4 2 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,18,132] |
[a1,a2,a3,a4,a6] |
j |
642735647/7729152 |
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 |
2 |
Number of elements in the torsion subgroup |
Twists |
30192t1 120768s1 11322e1 94350e1 |
Quadratic twists by: -4 8 -3 5 |