Atkin-Lehner |
2+ 3+ 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
29766a |
Isogeny class |
Conductor |
29766 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
798336 |
Modular degree for the optimal curve |
Δ |
-7582165135329191616 = -1 · 26 · 36 · 119 · 413 |
Discriminant |
Eigenvalues |
2+ 3+ -3 -3 11+ 6 -3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,439591,70657701] |
[a1,a2,a3,a4,a6] |
Generators |
[413:-18175:1] |
Generators of the group modulo torsion |
j |
3984138055477/3215578176 |
j-invariant |
L |
1.9907928563852 |
L(r)(E,1)/r! |
Ω |
0.15126716088301 |
Real period |
R |
1.645096699082 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89298bv1 29766z1 |
Quadratic twists by: -3 -11 |