Atkin-Lehner |
2+ 23+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
4094a |
Isogeny class |
Conductor |
4094 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1368 |
Modular degree for the optimal curve |
Δ |
1048064 = 29 · 23 · 89 |
Discriminant |
Eigenvalues |
2+ 2 1 4 -4 -7 -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-237,-1507] |
[a1,a2,a3,a4,a6] |
Generators |
[-249:146:27] |
Generators of the group modulo torsion |
j |
1481933914201/1048064 |
j-invariant |
L |
4.044729820681 |
L(r)(E,1)/r! |
Ω |
1.2161651788066 |
Real period |
R |
3.3258063058918 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32752i1 36846ba1 102350w1 94162k1 |
Quadratic twists by: -4 -3 5 -23 |