Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
58800ij |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
-14117880000000000 = -1 · 212 · 3 · 510 · 76 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -2 1 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-163333,-26097037] |
[a1,a2,a3,a4,a6] |
j |
-102400/3 |
j-invariant |
L |
2.963406492183 |
L(r)(E,1)/r! |
Ω |
0.11853625979004 |
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 |
3675f2 58800hc1 1200k2 |
Quadratic twists by: -4 5 -7 |