Atkin-Lehner |
2- 3- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
93024z |
Isogeny class |
Conductor |
93024 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-348174692352 = -1 · 212 · 36 · 17 · 193 |
Discriminant |
Eigenvalues |
2- 3- 4 4 -2 -4 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1032,25360] |
[a1,a2,a3,a4,a6] |
Generators |
[36960:404060:343] |
Generators of the group modulo torsion |
j |
40707584/116603 |
j-invariant |
L |
10.425918836231 |
L(r)(E,1)/r! |
Ω |
0.67426694389541 |
Real period |
R |
7.7312990991073 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004257 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93024be1 10336c1 |
Quadratic twists by: -4 -3 |