Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
29400er |
Isogeny class |
Conductor |
29400 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
-354508257525030000 = -1 · 24 · 316 · 54 · 77 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 5 -2 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1656608,820635213] |
[a1,a2,a3,a4,a6] |
Generators |
[982:11907:1] |
Generators of the group modulo torsion |
j |
-427361108435200/301327047 |
j-invariant |
L |
6.9045269456278 |
L(r)(E,1)/r! |
Ω |
0.30000416889193 |
Real period |
R |
0.35960578122597 |
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 |
58800ci1 88200eg1 29400s1 4200v1 |
Quadratic twists by: -4 -3 5 -7 |