Atkin-Lehner |
2+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
29744j |
Isogeny class |
Conductor |
29744 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
139776 |
Modular degree for the optimal curve |
Δ |
-15549584500736 = -1 · 211 · 112 · 137 |
Discriminant |
Eigenvalues |
2+ -3 -3 -3 11- 13+ -5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,4901,-136214] |
[a1,a2,a3,a4,a6] |
Generators |
[25:44:1] [65:-676:1] |
Generators of the group modulo torsion |
j |
1317006/1573 |
j-invariant |
L |
3.929288893881 |
L(r)(E,1)/r! |
Ω |
0.37512946075386 |
Real period |
R |
0.32732773823474 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14872i1 118976cm1 2288b1 |
Quadratic twists by: -4 8 13 |