Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
58800ik |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-197650320000000000 = -1 · 213 · 3 · 510 · 77 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -2 1 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-85760208,-305715506412] |
[a1,a2,a3,a4,a6] |
j |
-14822892630025/42 |
j-invariant |
L |
2.4805506663221 |
L(r)(E,1)/r! |
Ω |
0.02480550666232 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7350bt2 58800hd1 8400bh2 |
Quadratic twists by: -4 5 -7 |