Atkin-Lehner |
2+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
21904c |
Isogeny class |
Conductor |
21904 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
53280 |
Modular degree for the optimal curve |
Δ |
56199671262736 = 24 · 378 |
Discriminant |
Eigenvalues |
2+ 1 3 -3 0 3 -1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-16884,757919] |
[a1,a2,a3,a4,a6] |
Generators |
[-18295:42439:125] |
Generators of the group modulo torsion |
j |
9472 |
j-invariant |
L |
6.9407533248619 |
L(r)(E,1)/r! |
Ω |
0.60882368670251 |
Real period |
R |
3.8000894054424 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10952d1 87616bg1 21904d1 |
Quadratic twists by: -4 8 37 |