Atkin-Lehner |
2- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
78400kd |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-205520896000000000 = -1 · 231 · 59 · 72 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 3 -5 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10923500,13896050000] |
[a1,a2,a3,a4,a6] |
j |
-5745702166029/8192 |
j-invariant |
L |
2.1536718554046 |
L(r)(E,1)/r! |
Ω |
0.26920898026093 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78400ee2 19600do2 78400kc2 78400ji2 |
Quadratic twists by: -4 8 5 -7 |