Atkin-Lehner |
2- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
29744n |
Isogeny class |
Conductor |
29744 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
419328 |
Modular degree for the optimal curve |
Δ |
-254764392460058624 = -1 · 225 · 112 · 137 |
Discriminant |
Eigenvalues |
2- 1 3 -5 11+ 13+ 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,35096,-24140492] |
[a1,a2,a3,a4,a6] |
j |
241804367/12886016 |
j-invariant |
L |
2.3818352546911 |
L(r)(E,1)/r! |
Ω |
0.14886470341829 |
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 |
3718f1 118976db1 2288k1 |
Quadratic twists by: -4 8 13 |