Atkin-Lehner |
2- 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
1872n |
Isogeny class |
Conductor |
1872 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-374732135571456 = -1 · 213 · 36 · 137 |
Discriminant |
Eigenvalues |
2- 3- 1 -1 -2 13+ 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-30627,-2263518] |
[a1,a2,a3,a4,a6] |
Generators |
[217:1144:1] |
Generators of the group modulo torsion |
j |
-1064019559329/125497034 |
j-invariant |
L |
3.0181519491244 |
L(r)(E,1)/r! |
Ω |
0.17925725585979 |
Real period |
R |
4.2092465583167 |
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 |
234a2 7488bz2 208d2 46800dr2 |
Quadratic twists by: -4 8 -3 5 |