Atkin-Lehner |
2- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
13328w |
Isogeny class |
Conductor |
13328 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
524296650752 = 218 · 76 · 17 |
Discriminant |
Eigenvalues |
2- -2 0 7- -6 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2368,26676] |
[a1,a2,a3,a4,a6] |
Generators |
[-36:258:1] [-5:196:1] |
Generators of the group modulo torsion |
j |
3048625/1088 |
j-invariant |
L |
4.782244775748 |
L(r)(E,1)/r! |
Ω |
0.84960050997853 |
Real period |
R |
2.8144079008779 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1666l1 53312cb1 119952en1 272d1 |
Quadratic twists by: -4 8 -3 -7 |