Atkin-Lehner |
2- 3- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
74052d |
Isogeny class |
Conductor |
74052 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
646272 |
Modular degree for the optimal curve |
Δ |
-7480843708048128 = -1 · 28 · 36 · 119 · 17 |
Discriminant |
Eigenvalues |
2- 3- 0 -1 11+ -2 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1277760,555948052] |
[a1,a2,a3,a4,a6] |
j |
-524288000/17 |
j-invariant |
L |
1.5588834635452 |
L(r)(E,1)/r! |
Ω |
0.38972086943944 |
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 |
8228a1 74052c1 |
Quadratic twists by: -3 -11 |