Atkin-Lehner |
2+ 3- 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
44286v |
Isogeny class |
Conductor |
44286 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
1368576 |
Modular degree for the optimal curve |
Δ |
-2325887319322116 = -1 · 22 · 36 · 118 · 612 |
Discriminant |
Eigenvalues |
2+ 3- -3 -4 11- -1 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4531695,3712743670] |
[a1,a2,a3,a4,a6] |
Generators |
[1229:-588:1] [-2047:67452:1] |
Generators of the group modulo torsion |
j |
-48013582383090313/10850436 |
j-invariant |
L |
6.313736718616 |
L(r)(E,1)/r! |
Ω |
0.36577475900892 |
Real period |
R |
2.1576586967488 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
44286bm1 |
Quadratic twists by: -11 |