Atkin-Lehner |
2- 3- 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
29766bq |
Isogeny class |
Conductor |
29766 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
691200 |
Modular degree for the optimal curve |
Δ |
2672894048191488 = 210 · 33 · 119 · 41 |
Discriminant |
Eigenvalues |
2- 3- 0 4 11- -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3712948,-2754070384] |
[a1,a2,a3,a4,a6] |
Generators |
[38092:-7443848:1] |
Generators of the group modulo torsion |
j |
3195392484115617625/1508779008 |
j-invariant |
L |
11.533392245653 |
L(r)(E,1)/r! |
Ω |
0.10876016295898 |
Real period |
R |
7.0696180978214 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89298o1 2706g1 |
Quadratic twists by: -3 -11 |