Atkin-Lehner |
2+ 17- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
44608l |
Isogeny class |
Conductor |
44608 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9472 |
Modular degree for the optimal curve |
Δ |
-22839296 = -1 · 215 · 17 · 41 |
Discriminant |
Eigenvalues |
2+ 1 1 -2 -3 -5 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-225,1247] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:43:1] [7:-8:1] |
Generators of the group modulo torsion |
j |
-38614472/697 |
j-invariant |
L |
10.304985439826 |
L(r)(E,1)/r! |
Ω |
2.142358108779 |
Real period |
R |
1.2025283492054 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44608o1 22304b1 |
Quadratic twists by: -4 8 |