Atkin-Lehner |
2+ 3- 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
17346o |
Isogeny class |
Conductor |
17346 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
45360 |
Modular degree for the optimal curve |
Δ |
-161926436448 = -1 · 25 · 36 · 76 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- -5 -1 -1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-35061,-2529824] |
[a1,a2,a3,a4,a6] |
j |
-40512641613625/1376352 |
j-invariant |
L |
1.0466833923618 |
L(r)(E,1)/r! |
Ω |
0.17444723206029 |
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 |
52038be1 354c1 |
Quadratic twists by: -3 -7 |