Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
29400dx |
Isogeny class |
Conductor |
29400 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
126720 |
Modular degree for the optimal curve |
Δ |
-185220000000000 = -1 · 211 · 33 · 510 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 -1 -1 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-80208,8741088] |
[a1,a2,a3,a4,a6] |
j |
-8318750/27 |
j-invariant |
L |
3.4237275408897 |
L(r)(E,1)/r! |
Ω |
0.57062125681513 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58800n1 88200br1 29400z1 29400ck1 |
Quadratic twists by: -4 -3 5 -7 |