Atkin-Lehner |
2- 3- 19- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
16872d |
Isogeny class |
Conductor |
16872 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
9446160384 = 211 · 38 · 19 · 37 |
Discriminant |
Eigenvalues |
2- 3- -3 4 -3 -4 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-103312,-12815776] |
[a1,a2,a3,a4,a6] |
j |
59545681581839906/4612383 |
j-invariant |
L |
2.130352651787 |
L(r)(E,1)/r! |
Ω |
0.26629408147337 |
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 |
33744a1 50616d1 |
Quadratic twists by: -4 -3 |