Atkin-Lehner |
2- 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
29400dw |
Isogeny class |
Conductor |
29400 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-622598508000000 = -1 · 28 · 33 · 56 · 78 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -6 3 -4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-11433,-1293237] |
[a1,a2,a3,a4,a6] |
Generators |
[153:750:1] |
Generators of the group modulo torsion |
j |
-7168/27 |
j-invariant |
L |
6.1303527835418 |
L(r)(E,1)/r! |
Ω |
0.21123867455617 |
Real period |
R |
2.418414776722 |
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 |
58800m1 88200bn1 1176a1 29400cz1 |
Quadratic twists by: -4 -3 5 -7 |