Atkin-Lehner |
2- 3- 13- |
Signs for the Atkin-Lehner involutions |
Class |
3744p |
Isogeny class |
Conductor |
3744 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
5748065856 = 26 · 312 · 132 |
Discriminant |
Eigenvalues |
2- 3- 2 0 4 13- 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2109,-37100] |
[a1,a2,a3,a4,a6] |
j |
22235451328/123201 |
j-invariant |
L |
2.8189364747483 |
L(r)(E,1)/r! |
Ω |
0.70473411868706 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
3744h1 7488r2 1248e1 93600u1 |
Quadratic twists by: -4 8 -3 5 |