Atkin-Lehner |
17+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
10693a |
Isogeny class |
Conductor |
10693 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
893090053 = 176 · 37 |
Discriminant |
Eigenvalues |
0 -1 0 1 -3 -4 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-963,11739] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:144:1] |
Generators of the group modulo torsion |
j |
4096000/37 |
j-invariant |
L |
2.4498826273247 |
L(r)(E,1)/r! |
Ω |
1.5840315894034 |
Real period |
R |
0.77330611450979 |
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 |
96237e1 37b3 |
Quadratic twists by: -3 17 |