Atkin-Lehner |
2+ 3+ 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
44286f |
Isogeny class |
Conductor |
44286 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
211968 |
Modular degree for the optimal curve |
Δ |
-2073515494735872 = -1 · 223 · 32 · 112 · 613 |
Discriminant |
Eigenvalues |
2+ 3+ 2 1 11- 0 -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,31656,330048] |
[a1,a2,a3,a4,a6] |
Generators |
[29:1114:1] |
Generators of the group modulo torsion |
j |
28992456697585007/17136491692032 |
j-invariant |
L |
4.3170031154006 |
L(r)(E,1)/r! |
Ω |
0.28291180429863 |
Real period |
R |
2.5431972377994 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44286z1 |
Quadratic twists by: -11 |