Atkin-Lehner |
2+ 3+ 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
17346c |
Isogeny class |
Conductor |
17346 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
-416304 = -1 · 24 · 32 · 72 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7- -2 -6 -7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-18,36] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:10:1] [0:6:1] |
Generators of the group modulo torsion |
j |
-14338681/8496 |
j-invariant |
L |
4.3473336903705 |
L(r)(E,1)/r! |
Ω |
2.7681580240195 |
Real period |
R |
0.39261971793587 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52038bn1 17346k1 |
Quadratic twists by: -3 -7 |