Atkin-Lehner |
2- 3- 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
17808bb |
Isogeny class |
Conductor |
17808 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
9600 |
Modular degree for the optimal curve |
Δ |
-1107800064 = -1 · 212 · 36 · 7 · 53 |
Discriminant |
Eigenvalues |
2- 3- 3 7- 3 4 -4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,251,-397] |
[a1,a2,a3,a4,a6] |
j |
425259008/270459 |
j-invariant |
L |
5.3306395970096 |
L(r)(E,1)/r! |
Ω |
0.88843993283493 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1113c1 71232cs1 53424bz1 124656ck1 |
Quadratic twists by: -4 8 -3 -7 |