Atkin-Lehner |
2- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
29744l |
Isogeny class |
Conductor |
29744 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-248793352011776 = -1 · 215 · 112 · 137 |
Discriminant |
Eigenvalues |
2- 1 1 1 11+ 13+ -1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-90640,-10561004] |
[a1,a2,a3,a4,a6] |
j |
-4165509529/12584 |
j-invariant |
L |
2.2008001049155 |
L(r)(E,1)/r! |
Ω |
0.1375500065574 |
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 |
3718p1 118976cz1 2288h1 |
Quadratic twists by: -4 8 13 |