Atkin-Lehner |
2- 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
41552z |
Isogeny class |
Conductor |
41552 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
3744 |
Modular degree for the optimal curve |
Δ |
41552 = 24 · 72 · 53 |
Discriminant |
Eigenvalues |
2- 0 -2 7- -3 5 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-56,-161] |
[a1,a2,a3,a4,a6] |
Generators |
[9:8:1] |
Generators of the group modulo torsion |
j |
24772608/53 |
j-invariant |
L |
4.519278911597 |
L(r)(E,1)/r! |
Ω |
1.7454538596898 |
Real period |
R |
2.5891712270187 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10388e1 41552q1 |
Quadratic twists by: -4 -7 |