Atkin-Lehner |
2- 3- 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
75072da |
Isogeny class |
Conductor |
75072 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-19218432 = -1 · 214 · 3 · 17 · 23 |
Discriminant |
Eigenvalues |
2- 3- 2 2 -3 -5 17- 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-17,207] |
[a1,a2,a3,a4,a6] |
j |
-35152/1173 |
j-invariant |
L |
3.6201821221621 |
L(r)(E,1)/r! |
Ω |
1.810091084171 |
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 |
75072y1 18768n1 |
Quadratic twists by: -4 8 |