Atkin-Lehner |
2- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
78400jm |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
-188900999168000 = -1 · 218 · 53 · 78 |
Discriminant |
Eigenvalues |
2- 1 5- 7+ 0 2 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-25153,1663423] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:1568:1] |
Generators of the group modulo torsion |
j |
-9317 |
j-invariant |
L |
7.3792887289988 |
L(r)(E,1)/r! |
Ω |
0.55260919701723 |
Real period |
R |
0.55639747825504 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000089 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78400ds1 19600dh1 78400jn1 78400kk1 |
Quadratic twists by: -4 8 5 -7 |