Atkin-Lehner |
2- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
29744bj |
Isogeny class |
Conductor |
29744 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
132480 |
Modular degree for the optimal curve |
Δ |
-830371797139456 = -1 · 235 · 11 · 133 |
Discriminant |
Eigenvalues |
2- 0 -3 -1 11- 13- 8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-61139,5981586] |
[a1,a2,a3,a4,a6] |
j |
-2808592297029/92274688 |
j-invariant |
L |
1.9961414545618 |
L(r)(E,1)/r! |
Ω |
0.49903536364083 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3718d1 118976ct1 29744x1 |
Quadratic twists by: -4 8 13 |