Atkin-Lehner |
2- 3+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
93024w |
Isogeny class |
Conductor |
93024 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-26040766464 = -1 · 212 · 39 · 17 · 19 |
Discriminant |
Eigenvalues |
2- 3+ -1 3 -4 2 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-108,-7776] |
[a1,a2,a3,a4,a6] |
Generators |
[252:3996:1] |
Generators of the group modulo torsion |
j |
-1728/323 |
j-invariant |
L |
6.8690698483836 |
L(r)(E,1)/r! |
Ω |
0.53035900992689 |
Real period |
R |
3.2379339856692 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999956195 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93024b1 93024a1 |
Quadratic twists by: -4 -3 |