Atkin-Lehner |
2- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
78400jq |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
-314703872000000000 = -1 · 226 · 59 · 74 |
Discriminant |
Eigenvalues |
2- 3 5- 7+ 0 -2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,24500,-26950000] |
[a1,a2,a3,a4,a6] |
Generators |
[223650:2240000:729] |
Generators of the group modulo torsion |
j |
1323/256 |
j-invariant |
L |
12.06614863092 |
L(r)(E,1)/r! |
Ω |
0.14414619356743 |
Real period |
R |
3.4878214996126 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999988698 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78400dy1 19600dk1 78400jr1 78400lj1 |
Quadratic twists by: -4 8 5 -7 |