Atkin-Lehner |
2- 7- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
36176bc |
Isogeny class |
Conductor |
36176 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
28800 |
Modular degree for the optimal curve |
Δ |
163818819584 = 212 · 73 · 17 · 193 |
Discriminant |
Eigenvalues |
2- 0 1 7- 6 1 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3632,81968] |
[a1,a2,a3,a4,a6] |
j |
1293603803136/39994829 |
j-invariant |
L |
3.0480103404742 |
L(r)(E,1)/r! |
Ω |
1.0160034468312 |
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 |
2261c1 |
Quadratic twists by: -4 |