Atkin-Lehner |
2- 3+ 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
29766bd |
Isogeny class |
Conductor |
29766 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
15375360 |
Modular degree for the optimal curve |
Δ |
-3261153479964297984 = -1 · 28 · 32 · 1113 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 3 -5 11- 6 -5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1166722719,-15339576138171] |
[a1,a2,a3,a4,a6] |
Generators |
[23660324383:-3098269712668:493039] |
Generators of the group modulo torsion |
j |
-99144942546405114122445577/1840836121344 |
j-invariant |
L |
7.7314376996869 |
L(r)(E,1)/r! |
Ω |
0.012915988371004 |
Real period |
R |
18.706073524936 |
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 |
89298bi1 2706b1 |
Quadratic twists by: -3 -11 |