Atkin-Lehner |
2+ 7+ 23+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
17066a |
Isogeny class |
Conductor |
17066 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
15232 |
Modular degree for the optimal curve |
Δ |
-41606908 = -1 · 22 · 7 · 232 · 532 |
Discriminant |
Eigenvalues |
2+ -2 -4 7+ -4 0 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-813,8852] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:131:1] [13:16:1] |
Generators of the group modulo torsion |
j |
-59323563117001/41606908 |
j-invariant |
L |
2.7946114344797 |
L(r)(E,1)/r! |
Ω |
2.0166768753665 |
Real period |
R |
0.69287536060302 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
119462d1 |
Quadratic twists by: -7 |