Atkin-Lehner |
2- 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
13916h |
Isogeny class |
Conductor |
13916 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
3888 |
Modular degree for the optimal curve |
Δ |
3952144 = 24 · 72 · 712 |
Discriminant |
Eigenvalues |
2- -1 1 7- -5 -6 -5 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-450,-3527] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:1:1] [28:71:1] |
Generators of the group modulo torsion |
j |
12882790144/5041 |
j-invariant |
L |
5.7191743413859 |
L(r)(E,1)/r! |
Ω |
1.0363971974375 |
Real period |
R |
0.91972047581853 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55664l1 125244p1 13916d1 |
Quadratic twists by: -4 -3 -7 |