Atkin-Lehner |
3- 7+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
18837a |
Isogeny class |
Conductor |
18837 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
7168 |
Modular degree for the optimal curve |
Δ |
-1249627743 = -1 · 38 · 72 · 132 · 23 |
Discriminant |
Eigenvalues |
-1 3- -2 7+ -2 13+ 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,94,1640] |
[a1,a2,a3,a4,a6] |
Generators |
[0:40:1] [4:43:1] |
Generators of the group modulo torsion |
j |
127263527/1714167 |
j-invariant |
L |
4.2149274339047 |
L(r)(E,1)/r! |
Ω |
1.1350166294034 |
Real period |
R |
0.92838451100972 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999966 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6279h1 |
Quadratic twists by: -3 |