Atkin-Lehner |
2+ 3- 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
44286u |
Isogeny class |
Conductor |
44286 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
371712 |
Modular degree for the optimal curve |
Δ |
-2169133529131008 = -1 · 211 · 34 · 118 · 61 |
Discriminant |
Eigenvalues |
2+ 3- -2 3 11- 2 8 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-42232,-4025914] |
[a1,a2,a3,a4,a6] |
j |
-38859069337/10119168 |
j-invariant |
L |
2.6284392619437 |
L(r)(E,1)/r! |
Ω |
0.16427745386759 |
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 |
44286bi1 |
Quadratic twists by: -11 |