Atkin-Lehner |
2- 3+ 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
29400dc |
Isogeny class |
Conductor |
29400 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
-14008466430000 = -1 · 24 · 35 · 54 · 78 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -2 1 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,5717,67012] |
[a1,a2,a3,a4,a6] |
Generators |
[33:539:1] |
Generators of the group modulo torsion |
j |
358400/243 |
j-invariant |
L |
4.41298533425 |
L(r)(E,1)/r! |
Ω |
0.44378170113501 |
Real period |
R |
1.6573408814001 |
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 |
58800dy1 88200dd1 29400bh1 29400ep1 |
Quadratic twists by: -4 -3 5 -7 |