Atkin-Lehner |
2+ 3- 13- |
Signs for the Atkin-Lehner involutions |
Class |
3744h |
Isogeny class |
Conductor |
3744 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-2578670774784 = -1 · 29 · 318 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 -4 13- 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-939,78050] |
[a1,a2,a3,a4,a6] |
Generators |
[-350:1505:8] |
Generators of the group modulo torsion |
j |
-245314376/6908733 |
j-invariant |
L |
3.905917033772 |
L(r)(E,1)/r! |
Ω |
0.67853723125149 |
Real period |
R |
5.7563783590296 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3744p4 7488q4 1248h4 93600di2 |
Quadratic twists by: -4 8 -3 5 |