Atkin-Lehner |
2+ 3- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
93024c |
Isogeny class |
Conductor |
93024 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
35840 |
Modular degree for the optimal curve |
Δ |
-964472832 = -1 · 212 · 36 · 17 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 0 0 6 4 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-360,3024] |
[a1,a2,a3,a4,a6] |
j |
-1728000/323 |
j-invariant |
L |
3.0081690612921 |
L(r)(E,1)/r! |
Ω |
1.5040845009039 |
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 |
93024ba1 10336m1 |
Quadratic twists by: -4 -3 |