Atkin-Lehner |
2- 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
68400eg |
Isogeny class |
Conductor |
68400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2.53135681875E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 0 4 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8315175,-9225836750] |
[a1,a2,a3,a4,a6] |
Generators |
[-3731129512278420:-2945229866528125:2264605835968] |
Generators of the group modulo torsion |
j |
21804712949838544/8680921875 |
j-invariant |
L |
7.5246950917251 |
L(r)(E,1)/r! |
Ω |
0.088908254289069 |
Real period |
R |
21.158595318613 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997051 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17100z4 22800cv4 13680bm4 |
Quadratic twists by: -4 -3 5 |