Atkin-Lehner |
2+ 3+ 5- 67- |
Signs for the Atkin-Lehner involutions |
Class |
64320p |
Isogeny class |
Conductor |
64320 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3602193742099906560 = 225 · 314 · 5 · 672 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 4 2 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-413825,-46344063] |
[a1,a2,a3,a4,a6] |
Generators |
[-475653057:-12594651904:2146689] |
Generators of the group modulo torsion |
j |
29897509379973409/13741278618240 |
j-invariant |
L |
6.0968090728997 |
L(r)(E,1)/r! |
Ω |
0.19666411989843 |
Real period |
R |
15.500562777923 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993411 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64320co2 2010h2 |
Quadratic twists by: -4 8 |