Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
117600gy |
Isogeny class |
Conductor |
117600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-72636492600000000 = -1 · 29 · 32 · 58 · 79 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -2 -2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,48592,-12277812] |
[a1,a2,a3,a4,a6] |
j |
39304/225 |
j-invariant |
L |
0.69247612299033 |
L(r)(E,1)/r! |
Ω |
0.17311900307315 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117600ep2 23520c2 117600eu2 |
Quadratic twists by: -4 5 -7 |