Atkin-Lehner |
2+ 3- 13- |
Signs for the Atkin-Lehner involutions |
Class |
3744h |
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] |
Generators |
[-47:180:1] |
Generators of the group modulo torsion |
j |
22235451328/123201 |
j-invariant |
L |
3.905917033772 |
L(r)(E,1)/r! |
Ω |
1.357074462503 |
Real period |
R |
2.8781891795148 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
3744p1 7488q2 1248h1 93600di1 |
Quadratic twists by: -4 8 -3 5 |