Atkin-Lehner |
2+ 3- 19+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
16872a |
Isogeny class |
Conductor |
16872 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
10314240 |
Modular degree for the optimal curve |
Δ |
-1.53454929736E+23 |
Discriminant |
Eigenvalues |
2+ 3- -3 5 5 2 7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-728414857,-7567136868421] |
[a1,a2,a3,a4,a6] |
j |
-166962959078001445737309395968/599433319281236638491 |
j-invariant |
L |
3.7197583892244 |
L(r)(E,1)/r! |
Ω |
0.014530306207908 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33744e1 50616g1 |
Quadratic twists by: -4 -3 |