Atkin-Lehner |
2- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
78400hq |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-1.412376245E+23 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- 6 -2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,4721967,17646434063] |
[a1,a2,a3,a4,a6] |
Generators |
[-756523578880443:56163565013825800:581973732549] |
Generators of the group modulo torsion |
j |
161017136/1953125 |
j-invariant |
L |
7.350130719456 |
L(r)(E,1)/r! |
Ω |
0.076344276625593 |
Real period |
R |
24.069029940196 |
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 |
78400bz2 19600cm2 15680cn2 78400gf2 |
Quadratic twists by: -4 8 5 -7 |