Atkin-Lehner |
2- 3- 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
44286bp |
Isogeny class |
Conductor |
44286 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
979968 |
Modular degree for the optimal curve |
Δ |
-961625190577510404 = -1 · 22 · 34 · 118 · 614 |
Discriminant |
Eigenvalues |
2- 3- 3 0 11- -1 3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,80886,46348776] |
[a1,a2,a3,a4,a6] |
Generators |
[1220:43676:1] |
Generators of the group modulo torsion |
j |
273024721343/4486052484 |
j-invariant |
L |
13.538072284476 |
L(r)(E,1)/r! |
Ω |
0.20725673778635 |
Real period |
R |
0.68041979142776 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44286p1 |
Quadratic twists by: -11 |