Atkin-Lehner |
2- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
78400jd |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-62720000000 = -1 · 214 · 57 · 72 |
Discriminant |
Eigenvalues |
2- -3 5+ 7- -2 6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-700,-14000] |
[a1,a2,a3,a4,a6] |
Generators |
[60:400:1] |
Generators of the group modulo torsion |
j |
-3024/5 |
j-invariant |
L |
3.6044901609282 |
L(r)(E,1)/r! |
Ω |
0.43908587268878 |
Real period |
R |
2.0522694889267 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007703 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78400de1 19600cy1 15680cu1 78400gm1 |
Quadratic twists by: -4 8 5 -7 |