Atkin-Lehner |
2- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
78400hh |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-6125000000 = -1 · 26 · 59 · 72 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- 2 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-408,-5062] |
[a1,a2,a3,a4,a6] |
Generators |
[48983:234800:1331] |
Generators of the group modulo torsion |
j |
-153664/125 |
j-invariant |
L |
7.2867541450028 |
L(r)(E,1)/r! |
Ω |
0.51323355523854 |
Real period |
R |
7.0988676296424 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000212 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78400hu1 39200bx1 15680cj1 78400gd1 |
Quadratic twists by: -4 8 5 -7 |