Atkin-Lehner |
2+ 3- 11- |
Signs for the Atkin-Lehner involutions |
Class |
17424s |
Isogeny class |
Conductor |
17424 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
135168 |
Modular degree for the optimal curve |
Δ |
-1049878407882433536 = -1 · 210 · 314 · 118 |
Discriminant |
Eigenvalues |
2+ 3- 1 0 11- -1 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,243573,17012842] |
[a1,a2,a3,a4,a6] |
Generators |
[-7145:212994:125] |
Generators of the group modulo torsion |
j |
9987164/6561 |
j-invariant |
L |
5.3093464295529 |
L(r)(E,1)/r! |
Ω |
0.17318389539241 |
Real period |
R |
7.6643189274655 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8712x1 69696fz1 5808m1 17424r1 |
Quadratic twists by: -4 8 -3 -11 |