Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
58800iz |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
23718038400000000 = 213 · 32 · 58 · 77 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-329280408,-2299946200812] |
[a1,a2,a3,a4,a6] |
j |
524388516989299201/3150 |
j-invariant |
L |
1.1341175196941 |
L(r)(E,1)/r! |
Ω |
0.035441172545268 |
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 |
7350g5 11760br5 8400bp5 |
Quadratic twists by: -4 5 -7 |