Atkin-Lehner |
2- 3+ 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
29766z |
Isogeny class |
Conductor |
29766 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
72576 |
Modular degree for the optimal curve |
Δ |
-4279934552256 = -1 · 26 · 36 · 113 · 413 |
Discriminant |
Eigenvalues |
2- 3+ -3 3 11+ -6 3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,3633,-51435] |
[a1,a2,a3,a4,a6] |
Generators |
[97:1058:1] |
Generators of the group modulo torsion |
j |
3984138055477/3215578176 |
j-invariant |
L |
6.1219487479853 |
L(r)(E,1)/r! |
Ω |
0.43158475856135 |
Real period |
R |
0.19701128053658 |
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 |
89298j1 29766a1 |
Quadratic twists by: -3 -11 |