Atkin-Lehner |
2- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
29744bf |
Isogeny class |
Conductor |
29744 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
-14495015501824 = -1 · 222 · 112 · 134 |
Discriminant |
Eigenvalues |
2- -2 3 2 11- 13+ 1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7258944,7525211188] |
[a1,a2,a3,a4,a6] |
Generators |
[1551:286:1] |
Generators of the group modulo torsion |
j |
-361585288790756017/123904 |
j-invariant |
L |
4.9550768053405 |
L(r)(E,1)/r! |
Ω |
0.4201589908614 |
Real period |
R |
0.9827781294532 |
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 |
3718l1 118976cg1 29744t1 |
Quadratic twists by: -4 8 13 |