Atkin-Lehner |
2- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
78400gt |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
7529536000000 = 212 · 56 · 76 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 0 -6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4900,0] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:300:1] |
Generators of the group modulo torsion |
j |
1728 |
j-invariant |
L |
5.1764528627918 |
L(r)(E,1)/r! |
Ω |
0.62679164084226 |
Real period |
R |
2.0646625307751 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001915 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
78400gt2 39200f1 3136t2 1600o2 |
Quadratic twists by: -4 8 5 -7 |