Atkin-Lehner |
2- 3+ 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
29766bf |
Isogeny class |
Conductor |
29766 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
475200 |
Modular degree for the optimal curve |
Δ |
14360161241153772 = 22 · 35 · 118 · 413 |
Discriminant |
Eigenvalues |
2- 3+ -4 -1 11- 6 -7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-73510,5029751] |
[a1,a2,a3,a4,a6] |
Generators |
[-71:3181:1] |
Generators of the group modulo torsion |
j |
204937704961/66991212 |
j-invariant |
L |
4.9093066889348 |
L(r)(E,1)/r! |
Ω |
0.36488249258995 |
Real period |
R |
2.2424144707009 |
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 |
89298bj1 29766m1 |
Quadratic twists by: -3 -11 |