Atkin-Lehner |
2- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
29744y |
Isogeny class |
Conductor |
29744 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
898560 |
Modular degree for the optimal curve |
Δ |
-2.0350301021155E+19 |
Discriminant |
Eigenvalues |
2- -3 1 -1 11+ 13- 1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-595387,279954922] |
[a1,a2,a3,a4,a6] |
Generators |
[6591:531674:1] |
Generators of the group modulo torsion |
j |
-537367797/468512 |
j-invariant |
L |
2.9971503659523 |
L(r)(E,1)/r! |
Ω |
0.19762653525763 |
Real period |
R |
1.8957160548083 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3718t1 118976dv1 29744bk1 |
Quadratic twists by: -4 8 13 |