Atkin-Lehner |
2- 23+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
29072i |
Isogeny class |
Conductor |
29072 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
13440 |
Modular degree for the optimal curve |
Δ |
-238157824 = -1 · 217 · 23 · 79 |
Discriminant |
Eigenvalues |
2- 2 3 -2 0 6 3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-24,752] |
[a1,a2,a3,a4,a6] |
Generators |
[44:288:1] |
Generators of the group modulo torsion |
j |
-389017/58144 |
j-invariant |
L |
9.4852965889289 |
L(r)(E,1)/r! |
Ω |
1.4403488954817 |
Real period |
R |
1.6463539873366 |
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 |
3634c1 116288u1 |
Quadratic twists by: -4 8 |