Atkin-Lehner |
2- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
29744bd |
Isogeny class |
Conductor |
29744 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
239616 |
Modular degree for the optimal curve |
Δ |
-25874508609224704 = -1 · 218 · 112 · 138 |
Discriminant |
Eigenvalues |
2- 2 3 -2 11- 13+ -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-79824,-11603008] |
[a1,a2,a3,a4,a6] |
Generators |
[629:13662:1] |
Generators of the group modulo torsion |
j |
-16835377/7744 |
j-invariant |
L |
9.1509197466137 |
L(r)(E,1)/r! |
Ω |
0.13893815619375 |
Real period |
R |
5.4886049048162 |
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 |
3718o1 118976cl1 29744r1 |
Quadratic twists by: -4 8 13 |